The number 27160
27160 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 97. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 97, 140 … 27160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27160 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 27160 itself that is 43400, so 27160 is abundant (43400 is more than 27160). Euler's totient φ(27160) = 9216 numbers up to 27160 share no factor with it.
- 4
The digits of 27160 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27160 = 2^{3} \times 5 \times 7 \times 97 \]27160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 9216 |
| Square | 737665600 |
| Cube | 20034997696000 |
| Square root | 164.802913 (= 2√6790) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.716 × |
27160 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and sixty |
| Binary (base 2) | 110101000011000 |
| Octal (base 8) | 65030 |
| Hexadecimal (base 16) | 6A18 |
| Base 3 | 1101020221 |
| As time | 27160 seconds = 7 h 32 min 40 s |
Is 27160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27160 ÷ 2 = 13580) | 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 (27160 ÷ 4 = 6790) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27160 ÷ 5 = 5432) | 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 | Yes (27160 ÷ 7 = 3880) | 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 (27160 ÷ 8 = 3395) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27160 ÷ 10 = 2716) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 27160 a prime number?
No. 27160 = × 5 × 7 × 97, so it is divisible by 2.
What are the factors of 27160?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 97, 140, 194, 280, 388, 485, 679, 776, 970, 1358, 1940, 2716, 3395, 3880, 5432, 6790, 13580, 27160.
What is 27160 in binary?
110101000011000 (hexadecimal 6A18, octal 65030).
What is the square root of 27160?
About 164.8029, exactly 2√6790.
Is 27160 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27160?
It is a composite number with 32 divisors.