The number 14040
14040 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 13. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26 … 14040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14040: a Harshad number: divisible by its digit sum 9.
- 2
14040 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 14040 itself that is 36360, so 14040 is abundant (36360 is more than 14040). Euler's totient φ(14040) = 3456 numbers up to 14040 share no factor with it.
- 4
The digits of 14040 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14040 = 2^{3} \times 3^{3} \times 5 \times 13 \]14040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 3456 |
| Square | 197121600 |
| Cube | 2767587264000 |
| Square root | 118.490506 (= 6√390) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.404 × |
14040 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and forty |
| Binary (base 2) | 11011011011000 |
| Octal (base 8) | 33330 |
| Hexadecimal (base 16) | 36D8 |
| Base 3 | 201021000 |
| As time | 14040 seconds = 3 h 54 min 0 s |
Is 14040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14040 ÷ 2 = 7020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14040 ÷ 3 = 4680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14040 ÷ 4 = 3510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14040 ÷ 5 = 2808) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14040 ÷ 6 = 2340) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (14040 ÷ 8 = 1755) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14040 ÷ 9 = 1560) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14040 ÷ 10 = 1404) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14040 ÷ 12 = 1170) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14040 a prime number?
No. 14040 = × × 5 × 13, so it is divisible by 2.
What are the factors of 14040?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 52, 54, 60, 65, 72, 78, 90, 104, 108, 117, 120, 130, 135, 156, 180, 195, 216, 234, 260, 270, 312, 351, 360, 390, 468, 520, 540, 585, 702, 780, 936, 1080, 1170, 1404, 1560, 1755, 2340, 2808, 3510, 4680, 7020, 14040.
What is 14040 in binary?
11011011011000 (hexadecimal 36D8, octal 33330).
What is the square root of 14040?
About 118.4905, exactly 6√390.
Is 14040 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 14040?
14040 is a Harshad number: divisible by its digit sum 9.