# 14628 (number)

14,628 (fourteen thousand six hundred twenty-eight) is an even five-digits composite number following 14627 and preceding 14629. In scientific notation, it is written as 1.4628 × 104. The sum of its digits is 21. It has a total of 5 prime factors and 24 positive divisors. There are 4,576 positive integers (up to 14628) that are relatively prime to 14628.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 21
• Digital Root 3

## Name

Short name 14 thousand 628 fourteen thousand six hundred twenty-eight

## Notation

Scientific notation 1.4628 × 104 14.628 × 103

## Prime Factorization of 14628

Prime Factorization 22 × 3 × 23 × 53

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 5 Total number of prime factors rad(n) 7314 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 14,628 is 22 × 3 × 23 × 53. Since it has a total of 5 prime factors, 14,628 is a composite number.

## Divisors of 14628

1, 2, 3, 4, 6, 12, 23, 46, 53, 69, 92, 106, 138, 159, 212, 276, 318, 636, 1219, 2438, 3657, 4876, 7314, 14628

24 divisors

 Even divisors 16 8 4 4
Total Divisors Sum of Divisors Aliquot Sum τ(n) 24 Total number of the positive divisors of n σ(n) 36288 Sum of all the positive divisors of n s(n) 21660 Sum of the proper positive divisors of n A(n) 1512 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 120.946 Returns the nth root of the product of n divisors H(n) 9.6746 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 14,628 can be divided by 24 positive divisors (out of which 16 are even, and 8 are odd). The sum of these divisors (counting 14,628) is 36,288, the average is 1,512.

## Other Arithmetic Functions (n = 14628)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 4576 Total number of positive integers not greater than n that are coprime to n λ(n) 572 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1719 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 4,576 positive integers (less than 14,628) that are coprime with 14,628. And there are approximately 1,719 prime numbers less than or equal to 14,628.

## Divisibility of 14628

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

The number 14,628 is divisible by 2, 3, 4 and 6.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (14628)

Base System Value
2 Binary 11100100100100
3 Ternary 202001210
4 Quaternary 3210210
5 Quinary 432003
6 Senary 151420
8 Octal 34444
10 Decimal 14628
12 Duodecimal 8570
20 Vigesimal 1gb8
36 Base36 bac

## Basic calculations (n = 14628)

### Multiplication

n×y
 n×2 29256 43884 58512 73140

### Division

n÷y
 n÷2 7314 4876 3657 2925.6

### Exponentiation

ny
 n2 213978384 3130075801152 45786748819251456 669768561728010298368

### Nth Root

y√n
 2√n 120.946 24.4565 10.9976 6.80827

## 14628 as geometric shapes

### Circle

 Diameter 29256 91910.4 6.72233e+08

### Sphere

 Volume 1.31112e+13 2.68893e+09 91910.4

### Square

Length = n
 Perimeter 58512 2.13978e+08 20687.1

### Cube

Length = n
 Surface area 1.28387e+09 3.13008e+12 25336.4

### Equilateral Triangle

Length = n
 Perimeter 43884 9.26554e+07 12668.2

### Triangular Pyramid

Length = n
 Surface area 3.70621e+08 3.68883e+11 11943.7
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