The number 89040
89040 is a composite number with 80 divisors. Its prime factorisation is × 3 × 5 × 7 × 53. Divisors (80): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24 … 89040.
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How to work it out
- 1
What is special about 89040: a Harshad number: divisible by its digit sum 21.
- 2
89040 is composite. Its prime factorisation is
- 3
The divisors add up to 321408; without 89040 itself that is 232368, so 89040 is abundant (232368 is more than 89040). Euler's totient φ(89040) = 19968 numbers up to 89040 share no factor with it.
- 4
The digits of 89040 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89040 = 2^{4} \times 3 \times 5 \times 7 \times 53 \]89040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 321408 |
| Euler totient φ(n) | 19968 |
| Square | 7928121600 |
| Cube | 705919947264000 |
| Square root | 298.395710 (= 4√5565) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.904 × |
89040 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and forty |
| Binary (base 2) | 10101101111010000 |
| Octal (base 8) | 255720 |
| Hexadecimal (base 16) | 15BD0 |
| Base 3 | 11112010210 |
| As time | 89040 seconds = 24 h 44 min 0 s |
Is 89040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89040 ÷ 2 = 44520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (89040 ÷ 3 = 29680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (89040 ÷ 4 = 22260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (89040 ÷ 5 = 17808) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (89040 ÷ 6 = 14840) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (89040 ÷ 7 = 12720) | 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 (89040 ÷ 8 = 11130) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (89040 ÷ 10 = 8904) | 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 | Yes (89040 ÷ 12 = 7420) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89040 a prime number?
No. 89040 = × 3 × 5 × 7 × 53, so it is divisible by 2.
What are the factors of 89040?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 53, 56, 60, 70, 80, 84, 105, 106, 112, 120, 140, 159, 168, 210, 212, 240, 265, 280, 318, 336, 371, 420, 424, 530, 560, 636, 742, 795, 840, 848, 1060, 1113, 1272, 1484, 1590, 1680, 1855, 2120, 2226, 2544, 2968, 3180, 3710, 4240, 4452, 5565, 5936, 6360, 7420, 8904, 11130, 12720, 14840, 17808, 22260, 29680, 44520, 89040.
What is 89040 in binary?
10101101111010000 (hexadecimal 15BD0, octal 255720).
What is the square root of 89040?
About 298.3957, exactly 4√5565.
Is 89040 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 89040?
89040 is a Harshad number: divisible by its digit sum 21.