## 180040

180,040 (one hundred eighty thousand forty) is an even six-digits composite number following 180039 and preceding 180041. In scientific notation, it is written as 1.8004 × 105. The sum of its digits is 13. It has a total of 6 prime factors and 32 positive divisors. There are 61,632 positive integers (up to 180040) that are relatively prime to 180040.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 6
• Sum of Digits 13
• Digital Root 4

## Name

Short name 180 thousand 40 one hundred eighty thousand forty

## Notation

Scientific notation 1.8004 × 105 180.04 × 103

## Prime Factorization of 180040

Prime Factorization 23 × 5 × 7 × 643

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 45010 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 180,040 is 23 × 5 × 7 × 643. Since it has a total of 6 prime factors, 180,040 is a composite number.

## Divisors of 180040

32 divisors

 Even divisors 24 8 4 4
Total Divisors Sum of Divisors Aliquot Sum τ(n) 32 Total number of the positive divisors of n σ(n) 463680 Sum of all the positive divisors of n s(n) 283640 Sum of the proper positive divisors of n A(n) 14490 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 424.311 Returns the nth root of the product of n divisors H(n) 12.4251 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 180,040 can be divided by 32 positive divisors (out of which 24 are even, and 8 are odd). The sum of these divisors (counting 180,040) is 463,680, the average is 14,490.

## Other Arithmetic Functions (n = 180040)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 61632 Total number of positive integers not greater than n that are coprime to n λ(n) 1284 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 16300 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 61,632 positive integers (less than 180,040) that are coprime with 180,040. And there are approximately 16,300 prime numbers less than or equal to 180,040.

## Divisibility of 180040

 m n mod m 2 3 4 5 6 7 8 9 0 1 0 0 4 0 0 4

The number 180,040 is divisible by 2, 4, 5, 7 and 8.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (180040)

Base System Value
2 Binary 101011111101001000
3 Ternary 100010222011
4 Quaternary 223331020
5 Quinary 21230130
6 Senary 3505304
8 Octal 537510
10 Decimal 180040
12 Duodecimal 88234
20 Vigesimal 12a20
36 Base36 3ux4

## Basic calculations (n = 180040)

### Multiplication

n×i
 n×2 360080 540120 720160 900200

### Division

ni
 n⁄2 90020 60013.3 45010 36008

### Exponentiation

ni
 n2 32414401600 5835888864064000 1050693431086082560000 189166845332738304102400000

### Nth Root

i√n
 2√n 424.311 56.4663 20.5988 11.248

## 180040 as geometric shapes

### Circle

 Diameter 360080 1.13122e+06 1.01833e+11

### Sphere

 Volume 2.44453e+16 4.07331e+11 1.13122e+06

### Square

Length = n
 Perimeter 720160 3.24144e+10 254615

### Cube

Length = n
 Surface area 1.94486e+11 5.83589e+15 311838

### Equilateral Triangle

Length = n
 Perimeter 540120 1.40358e+10 155919

### Triangular Pyramid

Length = n
 Surface area 5.61434e+10 6.87766e+14 147002

## Cryptographic Hash Functions

md5 eb960251c283f5a0dc12395b3fb4f85f 8ae8047ce8d11125d53184ff2145eebd03ccb531 44497bcd01910381b5548010deadec1c5b602551fec3827371fc70b0ed1c1809 e4c4bb38f1ea51139b63ecd9c0b334fc2b1ee0cbdf2336b63d61ff76f5283932b58c0535ac642f60a542d486473bed2a9459c3dd3dd76b67a3d6624f75c7f1a9 522328d8b12395fb80c41e1e548d838860164fc6
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