The number 27640
27640 is a composite number with 16 divisors. Its prime factorisation is × 5 × 691. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 691, 1382, 2764, 3455, 5528, 6910, 13820, 27640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27640 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27640 is composite. Its prime factorisation is
- 3
The divisors add up to 62280; without 27640 itself that is 34640, so 27640 is abundant (34640 is more than 27640). Euler's totient φ(27640) = 11040 numbers up to 27640 share no factor with it.
- 4
The digits of 27640 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27640 = 2^{3} \times 5 \times 691 \]27640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62280 |
| Euler totient φ(n) | 11040 |
| Square | 763969600 |
| Cube | 21116119744000 |
| Square root | 166.252820 (= 2√6910) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.764 × |
27640 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and forty |
| Binary (base 2) | 110101111111000 |
| Octal (base 8) | 65770 |
| Hexadecimal (base 16) | 6BF8 |
| Base 3 | 1101220201 |
| As time | 27640 seconds = 7 h 40 min 40 s |
Is 27640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27640 ÷ 2 = 13820) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27640 ÷ 4 = 6910) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27640 ÷ 5 = 5528) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (27640 ÷ 8 = 3455) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27640 ÷ 10 = 2764) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27640 a prime number?
No. 27640 = × 5 × 691, so it is divisible by 2.
What are the factors of 27640?
1, 2, 4, 5, 8, 10, 20, 40, 691, 1382, 2764, 3455, 5528, 6910, 13820, 27640.
What is 27640 in binary?
110101111111000 (hexadecimal 6BF8, octal 65770).
What is the square root of 27640?
About 166.2528, exactly 2√6910.
Is 27640 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27640?
It is a composite number with 16 divisors.