The number 87320
87320 is a composite number with 32 divisors. Its prime factorisation is × 5 × 37 × 59. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 37, 40, 59, 74, 118, 148, 185, 236, 295 … 87320.
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How to work it out
- 1
What is special about 87320: a Harshad number: divisible by its digit sum 20.
- 2
87320 is composite. Its prime factorisation is
- 3
The divisors add up to 205200; without 87320 itself that is 117880, so 87320 is abundant (117880 is more than 87320). Euler's totient φ(87320) = 33408 numbers up to 87320 share no factor with it.
- 4
The digits of 87320 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87320 = 2^{3} \times 5 \times 37 \times 59 \]87320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 205200 |
| Euler totient φ(n) | 33408 |
| Square | 7624782400 |
| Cube | 665795999168000 |
| Square root | 295.499577 (= 2√21830) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.732 × |
87320 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and twenty |
| Binary (base 2) | 10101010100011000 |
| Octal (base 8) | 252430 |
| Hexadecimal (base 16) | 15518 |
| Base 3 | 11102210002 |
| As time | 87320 seconds = 24 h 15 min 20 s |
Is 87320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87320 ÷ 2 = 43660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87320 ÷ 4 = 21830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87320 ÷ 5 = 17464) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (87320 ÷ 8 = 10915) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87320 ÷ 10 = 8732) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87320 a prime number?
No. 87320 = × 5 × 37 × 59, so it is divisible by 2.
What are the factors of 87320?
1, 2, 4, 5, 8, 10, 20, 37, 40, 59, 74, 118, 148, 185, 236, 295, 296, 370, 472, 590, 740, 1180, 1480, 2183, 2360, 4366, 8732, 10915, 17464, 21830, 43660, 87320.
What is 87320 in binary?
10101010100011000 (hexadecimal 15518, octal 252430).
What is the square root of 87320?
About 295.4996, exactly 2√21830.
Is 87320 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 87320?
87320 is a Harshad number: divisible by its digit sum 20.