The number 13240
13240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 331. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 331, 662, 1324, 1655, 2648, 3310, 6620, 13240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13240: a Harshad number: divisible by its digit sum 10.
- 2
13240 is composite. Its prime factorisation is
- 3
The divisors add up to 29880; without 13240 itself that is 16640, so 13240 is abundant (16640 is more than 13240). Euler's totient φ(13240) = 5280 numbers up to 13240 share no factor with it.
- 4
The digits of 13240 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13240 = 2^{3} \times 5 \times 331 \]13240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29880 |
| Euler totient φ(n) | 5280 |
| Square | 175297600 |
| Cube | 2320940224000 |
| Square root | 115.065199 (= 2√3310) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.324 × |
13240 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and forty |
| Binary (base 2) | 11001110111000 |
| Octal (base 8) | 31670 |
| Hexadecimal (base 16) | 33B8 |
| Base 3 | 200011101 |
| As time | 13240 seconds = 3 h 40 min 40 s |
Is 13240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13240 ÷ 2 = 6620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13240 ÷ 4 = 3310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13240 ÷ 5 = 2648) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (13240 ÷ 8 = 1655) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13240 ÷ 10 = 1324) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13240 a prime number?
No. 13240 = × 5 × 331, so it is divisible by 2.
What are the factors of 13240?
1, 2, 4, 5, 8, 10, 20, 40, 331, 662, 1324, 1655, 2648, 3310, 6620, 13240.
What is 13240 in binary?
11001110111000 (hexadecimal 33B8, octal 31670).
What is the square root of 13240?
About 115.0652, exactly 2√3310.
Is 13240 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13240?
13240 is a Harshad number: divisible by its digit sum 10.