The number 25920
25920 is a composite number with 70 divisors. Its prime factorisation is × × 5. Divisors (70): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27 … 25920.
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How to work it out
- 1
What is special about 25920: a Harshad number: divisible by its digit sum 18.
- 2
25920 is composite. Its prime factorisation is
- 3
The divisors add up to 92202; without 25920 itself that is 66282, so 25920 is abundant (66282 is more than 25920). Euler's totient φ(25920) = 6912 numbers up to 25920 share no factor with it.
- 4
The digits of 25920 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25920 = 2^{6} \times 3^{4} \times 5 \]25920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 70 |
| Sum of divisors | 92202 |
| Euler totient φ(n) | 6912 |
| Square | 671846400 |
| Cube | 17414258688000 |
| Square root | 160.996894 (= 72√5) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.592 × |
25920 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand nine hundred and twenty |
| Binary (base 2) | 110010101000000 |
| Octal (base 8) | 62500 |
| Hexadecimal (base 16) | 6540 |
| Base 3 | 1022120000 |
| As time | 25920 seconds = 7 h 12 min 0 s |
Is 25920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25920 ÷ 2 = 12960) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25920 ÷ 3 = 8640) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25920 ÷ 4 = 6480) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25920 ÷ 5 = 5184) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25920 ÷ 6 = 4320) | 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 (25920 ÷ 8 = 3240) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25920 ÷ 9 = 2880) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25920 ÷ 10 = 2592) | 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 (25920 ÷ 12 = 2160) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25920 a prime number?
No. 25920 = × × 5, so it is divisible by 2.
What are the factors of 25920?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 192, 216, 240, 270, 288, 320, 324, 360, 405, 432, 480, 540, 576, 648, 720, 810, 864, 960, 1080, 1296, 1440, 1620, 1728, 2160, 2592, 2880, 3240, 4320, 5184, 6480, 8640, 12960, 25920.
What is 25920 in binary?
110010101000000 (hexadecimal 6540, octal 62500).
What is the square root of 25920?
About 160.9969, exactly 72√5.
Is 25920 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 25920?
25920 is a Harshad number: divisible by its digit sum 18.