The number 23920
23920 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 23. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 23, 26, 40, 46, 52, 65, 80 … 23920.
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How to work it out
- 1
What is special about 23920: a Harshad number: divisible by its digit sum 16.
- 2
23920 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 23920 itself that is 38576, so 23920 is abundant (38576 is more than 23920). Euler's totient φ(23920) = 8448 numbers up to 23920 share no factor with it.
- 4
The digits of 23920 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23920 = 2^{4} \times 5 \times 13 \times 23 \]23920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 8448 |
| Square | 572166400 |
| Cube | 13686220288000 |
| Square root | 154.660919 (= 4√1495) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.392 × |
23920 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and twenty |
| Binary (base 2) | 101110101110000 |
| Octal (base 8) | 56560 |
| Hexadecimal (base 16) | 5D70 |
| Base 3 | 1012210221 |
| As time | 23920 seconds = 6 h 38 min 40 s |
Is 23920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23920 ÷ 2 = 11960) | 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 (23920 ÷ 4 = 5980) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23920 ÷ 5 = 4784) | 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 1) | 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 (23920 ÷ 8 = 2990) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23920 ÷ 10 = 2392) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 23920 a prime number?
No. 23920 = × 5 × 13 × 23, so it is divisible by 2.
What are the factors of 23920?
1, 2, 4, 5, 8, 10, 13, 16, 20, 23, 26, 40, 46, 52, 65, 80, 92, 104, 115, 130, 184, 208, 230, 260, 299, 368, 460, 520, 598, 920, 1040, 1196, 1495, 1840, 2392, 2990, 4784, 5980, 11960, 23920.
What is 23920 in binary?
101110101110000 (hexadecimal 5D70, octal 56560).
What is the square root of 23920?
About 154.6609, exactly 4√1495.
Is 23920 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 23920?
23920 is a Harshad number: divisible by its digit sum 16.