The number 13040
13040 is a composite number with 20 divisors. Its prime factorisation is × 5 × 163. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 163, 326, 652, 815, 1304, 1630 … 13040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13040: a Harshad number: divisible by its digit sum 8.
- 2
13040 is composite. Its prime factorisation is
- 3
The divisors add up to 30504; without 13040 itself that is 17464, so 13040 is abundant (17464 is more than 13040). Euler's totient φ(13040) = 5184 numbers up to 13040 share no factor with it.
- 4
The digits of 13040 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13040 = 2^{4} \times 5 \times 163 \]13040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 30504 |
| Euler totient φ(n) | 5184 |
| Square | 170041600 |
| Cube | 2217342464000 |
| Square root | 114.192819 (= 4√815) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.304 × |
13040 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and forty |
| Binary (base 2) | 11001011110000 |
| Octal (base 8) | 31360 |
| Hexadecimal (base 16) | 32F0 |
| Base 3 | 122212222 |
| As time | 13040 seconds = 3 h 37 min 20 s |
Is 13040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13040 ÷ 2 = 6520) | 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 (13040 ÷ 4 = 3260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13040 ÷ 5 = 2608) | 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 6) | 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 (13040 ÷ 8 = 1630) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13040 ÷ 10 = 1304) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 13040 a prime number?
No. 13040 = × 5 × 163, so it is divisible by 2.
What are the factors of 13040?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 163, 326, 652, 815, 1304, 1630, 2608, 3260, 6520, 13040.
What is 13040 in binary?
11001011110000 (hexadecimal 32F0, octal 31360).
What is the square root of 13040?
About 114.1928, exactly 4√815.
Is 13040 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13040?
13040 is a Harshad number: divisible by its digit sum 8.