The number 13520
13520 is a composite number with 30 divisors. Its prime factorisation is × 5 × . Divisors (30): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130 … 13520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13520 is composite. Its prime factorisation is
- 3
The divisors add up to 34038; without 13520 itself that is 20518, so 13520 is abundant (20518 is more than 13520). Euler's totient φ(13520) = 4992 numbers up to 13520 share no factor with it.
- 4
The digits of 13520 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13520 = 2^{4} \times 5 \times 13^{2} \]13520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 34038 |
| Euler totient φ(n) | 4992 |
| Square | 182790400 |
| Cube | 2471326208000 |
| Square root | 116.275535 (= 52√5) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.352 × |
13520 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and twenty |
| Binary (base 2) | 11010011010000 |
| Octal (base 8) | 32320 |
| Hexadecimal (base 16) | 34D0 |
| Base 3 | 200112202 |
| As time | 13520 seconds = 3 h 45 min 20 s |
Is 13520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13520 ÷ 2 = 6760) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13520 ÷ 4 = 3380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13520 ÷ 5 = 2704) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (13520 ÷ 8 = 1690) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13520 ÷ 10 = 1352) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13520 a prime number?
No. 13520 = × 5 × , so it is divisible by 2.
What are the factors of 13520?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 169, 208, 260, 338, 520, 676, 845, 1040, 1352, 1690, 2704, 3380, 6760, 13520.
What is 13520 in binary?
11010011010000 (hexadecimal 34D0, octal 32320).
What is the square root of 13520?
About 116.2755, exactly 52√5.
Is 13520 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13520?
It is a composite number with 30 divisors.