# 18880 (number)

18,880 (eighteen thousand eight hundred eighty) is an even five-digits composite number following 18879 and preceding 18881. In scientific notation, it is written as 1.888 × 104. The sum of its digits is 25. It has a total of 8 prime factors and 28 positive divisors. There are 7,424 positive integers (up to 18880) that are relatively prime to 18880.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 25
• Digital Root 7

## Name

Short name 18 thousand 880 eighteen thousand eight hundred eighty

## Notation

Scientific notation 1.888 × 104 18.88 × 103

## Prime Factorization of 18880

Prime Factorization 26 × 5 × 59

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 8 Total number of prime factors rad(n) 590 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 18,880 is 26 × 5 × 59. Since it has a total of 8 prime factors, 18,880 is a composite number.

## Divisors of 18880

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 64, 80, 118, 160, 236, 295, 320, 472, 590, 944, 1180, 1888, 2360, 3776, 4720, 9440, 18880

28 divisors

 Even divisors 24 4 2 2
Total Divisors Sum of Divisors Aliquot Sum τ(n) 28 Total number of the positive divisors of n σ(n) 45720 Sum of all the positive divisors of n s(n) 26840 Sum of the proper positive divisors of n A(n) 1632.86 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 137.405 Returns the nth root of the product of n divisors H(n) 11.5626 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 18,880 can be divided by 28 positive divisors (out of which 24 are even, and 4 are odd). The sum of these divisors (counting 18,880) is 45,720, the average is 16,32.,857.

## Other Arithmetic Functions (n = 18880)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 7424 Total number of positive integers not greater than n that are coprime to n λ(n) 928 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 2153 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 7,424 positive integers (less than 18,880) that are coprime with 18,880. And there are approximately 2,153 prime numbers less than or equal to 18,880.

## Divisibility of 18880

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

The number 18,880 is divisible by 2, 4, 5 and 8.

• Abundant

• Polite
• Practical

• Frugal

## Base conversion (18880)

Base System Value
2 Binary 100100111000000
3 Ternary 221220021
4 Quaternary 10213000
5 Quinary 1101010
6 Senary 223224
8 Octal 44700
10 Decimal 18880
12 Duodecimal ab14
20 Vigesimal 2740
36 Base36 ekg

## Basic calculations (n = 18880)

### Multiplication

n×y
 n×2 37760 56640 75520 94400

### Division

n÷y
 n÷2 9440 6293.33 4720 3776

### Exponentiation

ny
 n2 356454400 6729859072000 127059739279360000 2398887877594316800000

### Nth Root

y√n
 2√n 137.405 26.6277 11.722 7.16474

## 18880 as geometric shapes

### Circle

 Diameter 37760 118627 1.11983e+09

### Sphere

 Volume 2.819e+13 4.47934e+09 118627

### Square

Length = n
 Perimeter 75520 3.56454e+08 26700.4

### Cube

Length = n
 Surface area 2.13873e+09 6.72986e+12 32701.1

### Equilateral Triangle

Length = n
 Perimeter 56640 1.54349e+08 16350.6

### Triangular Pyramid

Length = n
 Surface area 6.17397e+08 7.93121e+11 15415.5

## Cryptographic Hash Functions

md5 5f41caa07641b4b19aaf61278a061920 90f74b0750f53d925337e7a5c1f83e4368a5c7c7 f045e6249c474f2dbd237cb6de7990928a074182a52f2ca7a455c9488c705ab3 53837d0122c5a617270ec8ae6c00e6ec8fcf28bab42300cd59712ae6bab6b0b66ab5f6b94b4517dcfb48f7c759a34e51649548153c3a85757120c3cfc8a9f7c3 a3b290fe86d9cb08f645efc235ff019f4e10fad1
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