# 13185 (number)

13185 is an odd five-digits composite number following 13184 and preceding 13186. In scientific notation, it is written as 1.3185 × 104. The sum of its digits is 18. It has a total of 4 prime factors and 12 positive divisors. There are 7,008 positive integers (up to 13185) that are relatively prime to 13185.

## Basic properties

• Is Prime? no
• Number parity odd
• Number length 5
• Sum of Digits 18
• Digital Root 9

## Name

Name thirteen thousand one hundred eighty-five

## Notation

Scientific notation 1.3185 × 104 13.185 × 103

## Prime Factorization of 13185

Prime Factorization 32 × 5 × 293

Composite number
Distinct Factors Total Factors Radical ω 3 Total number of distinct prime factors Ω 4 Total number of prime factors rad 4395 Product of the distinct prime numbers λ 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ 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 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 13185 is 32 × 5 × 293. Since it has a total of 4 prime factors, 13185 is a composite number.

## Divisors of 13185

1, 3, 5, 9, 15, 45, 293, 879, 1465, 2637, 4395, 13185

12 divisors

 Even divisors 0 12 8 4
Total Divisors Sum of Divisors Aliquot Sum τ 12 Total number of the positive divisors of n σ 22932 Sum of all the positive divisors of n s 9747 Sum of the proper positive divisors of n A 1911 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G 114.826 Returns the nth root of the product of n divisors H 6.89953 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 13185 can be divided by 12 positive divisors (out of which none is even, and 12 are odd). The sum of these divisors (counting 13185) is 22932, the average is 1911.

## Other Arithmetic Functions (n = 13185)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ 7008 Total number of positive integers not greater than n that are coprime to n λ 876 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π ≈ 1568 Total number of primes less than or equal to n r2 16 The number of ways n can be represented as the sum of 2 squares

There are 7,008 positive integers (less than 13185) that are coprime with 13185. And there are approximately 1,568 prime numbers less than or equal to 13185.

## Divisibility of 13185

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

The number 13185 is divisible by 3, 5 and 9.

• Arithmetic
• Deficient

• Polite

## Base conversion 13185

Base System Value
2 Binary 11001110000001
3 Ternary 200002100
4 Quaternary 3032001
5 Quinary 410220
6 Senary 141013
8 Octal 31601
10 Decimal 13185
12 Duodecimal 7769
20 Vigesimal 1cj5
36 Base36 a69

## Basic calculations (n = 13185)

### Multiplication

n×y
 n×2 26370 39555 52740 65925

### Division

n÷y
 n÷2 6592.5 4395 3296.25 2637

### Exponentiation

ny
 n2 173844225 2292136106625 30221814565850625 398474625050740490625

### Nth Root

y√n
 2√n 114.826 23.6244 10.7157 6.66831

## 13185 as geometric shapes

### Circle

 Diameter 26370 82843.8 5.46148e+08

### Sphere

 Volume 9.60128e+12 2.18459e+09 82843.8

### Square

Length = n
 Perimeter 52740 1.73844e+08 18646.4

### Cube

Length = n
 Surface area 1.04307e+09 2.29214e+12 22837.1

### Equilateral Triangle

Length = n
 Perimeter 39555 7.52768e+07 11418.5

### Triangular Pyramid

Length = n
 Surface area 3.01107e+08 2.70131e+11 10765.5
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