The number 88560
88560 is a composite number with 80 divisors. Its prime factorisation is × × 5 × 41. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27 … 88560.
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How to work it out
- 1
What is special about 88560: a Harshad number: divisible by its digit sum 27.
- 2
88560 is composite. Its prime factorisation is
- 3
The divisors add up to 312480; without 88560 itself that is 223920, so 88560 is abundant (223920 is more than 88560). Euler's totient φ(88560) = 23040 numbers up to 88560 share no factor with it.
- 4
The digits of 88560 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88560 = 2^{4} \times 3^{3} \times 5 \times 41 \]88560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 312480 |
| Euler totient φ(n) | 23040 |
| Square | 7842873600 |
| Cube | 694564886016000 |
| Square root | 297.590322 (= 12√615) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.856 × |
88560 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand five hundred and sixty |
| Binary (base 2) | 10101100111110000 |
| Octal (base 8) | 254760 |
| Hexadecimal (base 16) | 159F0 |
| Base 3 | 11111111000 |
| As time | 88560 seconds = 24 h 36 min 0 s |
Is 88560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88560 ÷ 2 = 44280) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88560 ÷ 3 = 29520) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88560 ÷ 4 = 22140) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88560 ÷ 5 = 17712) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88560 ÷ 6 = 14760) | 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 (88560 ÷ 8 = 11070) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88560 ÷ 9 = 9840) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88560 ÷ 10 = 8856) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88560 ÷ 12 = 7380) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88560 a prime number?
No. 88560 = × × 5 × 41, so it is divisible by 2.
What are the factors of 88560?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 41, 45, 48, 54, 60, 72, 80, 82, 90, 108, 120, 123, 135, 144, 164, 180, 205, 216, 240, 246, 270, 328, 360, 369, 410, 432, 492, 540, 615, 656, 720, 738, 820, 984, 1080, 1107, 1230, 1476, 1640, 1845, 1968, 2160, 2214, 2460, 2952, 3280, 3690, 4428, 4920, 5535, 5904, 7380, 8856, 9840, 11070, 14760, 17712, 22140, 29520, 44280, 88560.
What is 88560 in binary?
10101100111110000 (hexadecimal 159F0, octal 254760).
What is the square root of 88560?
About 297.5903, exactly 12√615.
Is 88560 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88560?
88560 is a Harshad number: divisible by its digit sum 27.