# 18564 (number)

18,564 (eighteen thousand five hundred sixty-four) is an even five-digits composite number following 18563 and preceding 18565. In scientific notation, it is written as 1.8564 × 104. The sum of its digits is 24. It has a total of 6 prime factors and 48 positive divisors. There are 4,608 positive integers (up to 18564) that are relatively prime to 18564.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 24
• Digital Root 6

## Name

Short name 18 thousand 564 eighteen thousand five hundred sixty-four

## Notation

Scientific notation 1.8564 × 104 18.564 × 103

## Prime Factorization of 18564

Prime Factorization 22 × 3 × 7 × 13 × 17

Composite number
Distinct Factors Total Factors Radical ω(n) 5 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 9282 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 18,564 is 22 × 3 × 7 × 13 × 17. Since it has a total of 6 prime factors, 18,564 is a composite number.

## Divisors of 18564

1, 2, 3, 4, 6, 7, 12, 13, 14, 17, 21, 26, 28, 34, 39, 42, 51, 52, 68, 78, 84, 91, 102, 119, 156, 182, 204, 221, 238, 273, 357, 364, 442, 476, 546, 663, 714, 884, 1092, 1326, 1428, 1547, 2652, 3094, 4641, 6188, 9282, 18564

48 divisors

 Even divisors 32 16 8 8
Total Divisors Sum of Divisors Aliquot Sum τ(n) 48 Total number of the positive divisors of n σ(n) 56448 Sum of all the positive divisors of n s(n) 37884 Sum of the proper positive divisors of n A(n) 1176 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 136.25 Returns the nth root of the product of n divisors H(n) 15.7857 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 18,564 can be divided by 48 positive divisors (out of which 32 are even, and 16 are odd). The sum of these divisors (counting 18,564) is 56,448, the average is 1,176.

## Other Arithmetic Functions (n = 18564)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 4608 Total number of positive integers not greater than n that are coprime to n λ(n) 48 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 2121 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 4,608 positive integers (less than 18,564) that are coprime with 18,564. And there are approximately 2,121 prime numbers less than or equal to 18,564.

## Divisibility of 18564

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

The number 18,564 is divisible by 2, 3, 4, 6 and 7.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (18564)

Base System Value
2 Binary 100100010000100
3 Ternary 221110120
4 Quaternary 10202010
5 Quinary 1043224
6 Senary 221540
8 Octal 44204
10 Decimal 18564
12 Duodecimal a8b0
20 Vigesimal 2684
36 Base36 ebo

## Basic calculations (n = 18564)

### Multiplication

n×y
 n×2 37128 55692 74256 92820

### Division

n÷y
 n÷2 9282 6188 4641 3712.8

### Exponentiation

ny
 n2 344622096 6397564590144 118764389051433216 2204742118350806221824

### Nth Root

y√n
 2√n 136.25 26.4783 11.6726 7.14059

## 18564 as geometric shapes

### Circle

 Diameter 37128 116641 1.08266e+09

### Sphere

 Volume 2.67981e+13 4.33065e+09 116641

### Square

Length = n
 Perimeter 74256 3.44622e+08 26253.5

### Cube

Length = n
 Surface area 2.06773e+09 6.39756e+12 32153.8

### Equilateral Triangle

Length = n
 Perimeter 55692 1.49226e+08 16076.9

### Triangular Pyramid

Length = n
 Surface area 5.96903e+08 7.5396e+11 15157.4
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