The number 27690
27690 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 71. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 71, 78, 130, 142 … 27690.
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How to work it out
- 1
27690 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27690 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 27690 itself that is 44886, so 27690 is abundant (44886 is more than 27690). Euler's totient φ(27690) = 6720 numbers up to 27690 share no factor with it.
- 4
The digits of 27690 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27690 = 2 \times 3 \times 5 \times 13 \times 71 \]
27690 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 6720 |
| Square | 766736100 |
| Cube | 21230922609000 |
| Square root | 166.403125 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.769 × |
27690 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and ninety |
| Binary (base 2) | 110110000101010 |
| Octal (base 8) | 66052 |
| Hexadecimal (base 16) | 6C2A |
| Base 3 | 1101222120 |
| As time | 27690 seconds = 7 h 41 min 30 s |
Is 27690 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27690 ÷ 2 = 13845) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27690 ÷ 3 = 9230) | 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 (27690 ÷ 5 = 5538) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27690 ÷ 6 = 4615) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (27690 ÷ 10 = 2769) | 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 27690 a prime number?
No. 27690 = 2 × 3 × 5 × 13 × 71, so it is divisible by 2.
What are the factors of 27690?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 71, 78, 130, 142, 195, 213, 355, 390, 426, 710, 923, 1065, 1846, 2130, 2769, 4615, 5538, 9230, 13845, 27690.
What is 27690 in binary?
110110000101010 (hexadecimal 6C2A, octal 66052).
What is the square root of 27690?
About 166.4031.
Is 27690 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27690?
It is a composite number with 32 divisors.