The number 87090
87090 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2903. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2903, 5806, 8709, 14515, 17418, 29030, 43545, 87090.
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How to work it out
- 1
87090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87090 is composite. Its prime factorisation is
- 3
The divisors add up to 209088; without 87090 itself that is 121998, so 87090 is abundant (121998 is more than 87090). Euler's totient φ(87090) = 23216 numbers up to 87090 share no factor with it.
- 4
The digits of 87090 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87090 = 2 \times 3 \times 5 \times 2903 \]
87090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 209088 |
| Euler totient φ(n) | 23216 |
| Square | 7584668100 |
| Cube | 660548744829000 |
| Square root | 295.110149 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.709 × |
87090 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and ninety |
| Binary (base 2) | 10101010000110010 |
| Octal (base 8) | 252062 |
| Hexadecimal (base 16) | 15432 |
| Base 3 | 11102110120 |
| As time | 87090 seconds = 24 h 11 min 30 s |
Is 87090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87090 ÷ 2 = 43545) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87090 ÷ 3 = 29030) | 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 (87090 ÷ 5 = 17418) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87090 ÷ 6 = 14515) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87090 ÷ 10 = 8709) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 87090 a prime number?
No. 87090 = 2 × 3 × 5 × 2903, so it is divisible by 2.
What are the factors of 87090?
1, 2, 3, 5, 6, 10, 15, 30, 2903, 5806, 8709, 14515, 17418, 29030, 43545, 87090.
What is 87090 in binary?
10101010000110010 (hexadecimal 15432, octal 252062).
What is the square root of 87090?
About 295.1101.
Is 87090 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87090?
It is a composite number with 16 divisors.