21345200

21,345,200 (twenty-one million three hundred forty-five thousand two hundred) is an even eight-digits composite number following 21345199 and preceding 21345201. In scientific notation, it is written as 2.13452 × 107. The sum of its digits is 17. It has a total of 9 prime factors and 120 positive divisors. There are 7,741,440 positive integers (up to 21345200) that are relatively prime to 21345200.

Basic properties

• Is Prime? No
• Number parity Even
• Number length 8
• Sum of Digits 17
• Digital Root 8

Name

Short name 21 million 345 thousand 200 twenty-one million three hundred forty-five thousand two hundred

Notation

Scientific notation 2.13452 × 107 21.3452 × 106

Prime Factorization of 21345200

Prime Factorization 24 × 52 × 17 × 43 × 73

Composite number
Distinct Factors Total Factors Radical ω(n) 5 Total number of distinct prime factors Ω(n) 9 Total number of prime factors rad(n) 533630 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 21,345,200 is 24 × 52 × 17 × 43 × 73. Since it has a total of 9 prime factors, 21,345,200 is a composite number.

Divisors of 21345200

120 divisors

 Even divisors 96 24 12 12
Total Divisors Sum of Divisors Aliquot Sum τ(n) 120 Total number of the positive divisors of n σ(n) 5.63223e+07 Sum of all the positive divisors of n s(n) 3.49771e+07 Sum of the proper positive divisors of n A(n) 469352 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 4620.09 Returns the nth root of the product of n divisors H(n) 45.478 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 21,345,200 can be divided by 120 positive divisors (out of which 96 are even, and 24 are odd). The sum of these divisors (counting 21,345,200) is 56,322,288, the average is 46,935,2.4.

Other Arithmetic Functions (n = 21345200)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 7741440 Total number of positive integers not greater than n that are coprime to n λ(n) 5040 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1348274 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 7,741,440 positive integers (less than 21,345,200) that are coprime with 21,345,200. And there are approximately 1,348,274 prime numbers less than or equal to 21,345,200.

Divisibility of 21345200

 m n mod m 2 3 4 5 6 7 8 9 0 2 0 0 2 2 0 8

The number 21,345,200 is divisible by 2, 4, 5 and 8.

• Abundant

• Polite
• Practical

Base conversion (21345200)

Base System Value
2 Binary 1010001011011001110110000
3 Ternary 1111011110002222
4 Quaternary 1101123032300
5 Quinary 20431021300
6 Senary 2041300212
8 Octal 121331660
10 Decimal 21345200
12 Duodecimal 7194668
20 Vigesimal 6d8300
36 Base36 cpi28

Basic calculations (n = 21345200)

Multiplication

n×i
 n×2 42690400 64035600 85380800 106726000

Division

ni
 n⁄2 1.06726e+07 7.11507e+06 5.3363e+06 4.26904e+06

Exponentiation

ni
 n2 455617563040000 9725248006601408000000 207587363750508374041600000000 4430993796727351345592760320000000000

Nth Root

i√n
 2√n 4620.09 277.396 67.9712 29.2321

21345200 as geometric shapes

Circle

 Diameter 4.26904e+07 1.34116e+08 1.43136e+15

Sphere

 Volume 4.0737e+22 5.72546e+15 1.34116e+08

Square

Length = n
 Perimeter 8.53808e+07 4.55618e+14 3.01867e+07

Cube

Length = n
 Surface area 2.73371e+15 9.72525e+21 3.6971e+07

Equilateral Triangle

Length = n
 Perimeter 6.40356e+07 1.97288e+14 1.84855e+07

Triangular Pyramid

Length = n
 Surface area 7.89153e+14 1.14613e+21 1.74283e+07

Cryptographic Hash Functions

md5 6e4569e7c1c07b5a849c8b49304a7b54 aa97287272ba53f45c57903f3e78ea275846160e 0c6762982983f05e795e5044380ba68cce98ca0b61077199b5d33bc106d5a247 ed1c70369cd81811cbc4ce07ebcae065364f4ceb96fb8a9cbef412c4415e338dc2a9475b36420acd6bbb6f5801c5d4febfa2b6fef9b432161e7bb435dfccbf66 907161fd5dbadfac3b87f34d1c04ab3ef9d76f17
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}