## 19530

19,530 (nineteen thousand five hundred thirty) is an even five-digits composite number following 19529 and preceding 19531. In scientific notation, it is written as 1.953 × 104. The sum of its digits is 18. It has a total of 6 prime factors and 48 positive divisors. There are 4,320 positive integers (up to 19530) that are relatively prime to 19530.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 18
• Digital Root 9

## Name

Short name 19 thousand 530 nineteen thousand five hundred thirty

## Notation

Scientific notation 1.953 × 104 19.53 × 103

## Prime Factorization of 19530

Prime Factorization 2 × 32 × 5 × 7 × 31

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) 6510 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 19,530 is 2 × 32 × 5 × 7 × 31. Since it has a total of 6 prime factors, 19,530 is a composite number.

## Divisors of 19530

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 31, 35, 42, 45, 62, 63, 70, 90, 93, 105, 126, 155, 186, 210, 217, 279, 310, 315, 434, 465, 558, 630, 651, 930, 1085, 1302, 1395, 1953, 2170, 2790, 3255, 3906, 6510, 9765, 19530

48 divisors

 Even divisors 24 24 12 12
Total Divisors Sum of Divisors Aliquot Sum τ(n) 48 Total number of the positive divisors of n σ(n) 59904 Sum of all the positive divisors of n s(n) 40374 Sum of the proper positive divisors of n A(n) 1248 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 139.75 Returns the nth root of the product of n divisors H(n) 15.649 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 19,530 can be divided by 48 positive divisors (out of which 24 are even, and 24 are odd). The sum of these divisors (counting 19,530) is 59,904, the average is 1,248.

## Other Arithmetic Functions (n = 19530)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 4320 Total number of positive integers not greater than n that are coprime to n λ(n) 60 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 2219 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 4,320 positive integers (less than 19,530) that are coprime with 19,530. And there are approximately 2,219 prime numbers less than or equal to 19,530.

## Divisibility of 19530

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

The number 19,530 is divisible by 2, 3, 5, 6, 7 and 9.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (19530)

Base System Value
2 Binary 100110001001010
3 Ternary 222210100
4 Quaternary 10301022
5 Quinary 1111110
6 Senary 230230
8 Octal 46112
10 Decimal 19530
12 Duodecimal b376
16 Hexadecimal 4c4a
20 Vigesimal 28ga
36 Base36 f2i

## Basic calculations (n = 19530)

### Multiplication

n×i
 n×2 39060 58590 78120 97650

### Division

ni
 n⁄2 9765 6510 4882.5 3906

### Exponentiation

ni
 n2 381420900 7449150177000 145481902956810000 2841261564746499300000

### Nth Root

i√n
 2√n 139.75 26.9299 11.8216 7.21341

## 19530 as geometric shapes

### Circle

Radius = n
 Diameter 39060 122711 1.19827e+09

### Sphere

Radius = n
 Volume 3.12029e+13 4.79308e+09 122711

### Square

Length = n
 Perimeter 78120 3.81421e+08 27619.6

### Cube

Length = n
 Surface area 2.28853e+09 7.44915e+12 33827

### Equilateral Triangle

Length = n
 Perimeter 58590 1.6516e+08 16913.5

### Triangular Pyramid

Length = n
 Surface area 6.6064e+08 8.77891e+11 15946.2

## Cryptographic Hash Functions

md5 bbbdef0b9bc5d4e6735581fa7f6a614b 230edeb74cdb9e7e9b6a84d59d2e64ce0045807f 7e18680e30460a277384529a414b0218fd842b39c568e9f07d6e6a86cab82346 a5c92f5595c38618d456ca924bf5402963cb45356a70c4cb039aced6ba8e4a8e68adc496707a2585cb13639e5b83cf371f367383648b3963a1df359215ac3e87 c7a8744c56bcb1dcdc96263369897ec1c8941e82
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