The number 82890
82890 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 307. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270 … 82890.
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How to work it out
- 1
What is special about 82890: a Harshad number: divisible by its digit sum 27.
- 2
82890 is composite. Its prime factorisation is
- 3
The divisors add up to 221760; without 82890 itself that is 138870, so 82890 is abundant (138870 is more than 82890). Euler's totient φ(82890) = 22032 numbers up to 82890 share no factor with it.
- 4
The digits of 82890 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82890 = 2 \times 3^{3} \times 5 \times 307 \]82890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 221760 |
| Euler totient φ(n) | 22032 |
| Square | 6870752100 |
| Cube | 569516641569000 |
| Square root | 287.906235 (= 3√9210) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.289 × |
82890 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and ninety |
| Binary (base 2) | 10100001111001010 |
| Octal (base 8) | 241712 |
| Hexadecimal (base 16) | 143CA |
| Base 3 | 11012201000 |
| As time | 82890 seconds = 23 h 1 min 30 s |
Is 82890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82890 ÷ 2 = 41445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82890 ÷ 3 = 27630) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82890 ÷ 5 = 16578) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82890 ÷ 6 = 13815) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82890 ÷ 9 = 9210) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (82890 ÷ 10 = 8289) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82890 a prime number?
No. 82890 = 2 × × 5 × 307, so it is divisible by 2.
What are the factors of 82890?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 307, 614, 921, 1535, 1842, 2763, 3070, 4605, 5526, 8289, 9210, 13815, 16578, 27630, 41445, 82890.
What is 82890 in binary?
10100001111001010 (hexadecimal 143CA, octal 241712).
What is the square root of 82890?
About 287.9062, exactly 3√9210.
Is 82890 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 82890?
82890 is a Harshad number: divisible by its digit sum 27.