The number 27136
27136 is a composite number with 20 divisors. Its prime factorisation is × 53. Divisors (20): 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1696 … 27136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27136 is composite. Its prime factorisation is
- 3
The divisors add up to 55242; without 27136 itself that is 28106, so 27136 is abundant (28106 is more than 27136). Euler's totient φ(27136) = 13312 numbers up to 27136 share no factor with it.
- 4
The digits of 27136 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 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27136 = 2^{9} \times 53 \]27136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 55242 |
| Euler totient φ(n) | 13312 |
| Square | 736362496 |
| Cube | 19981932691456 |
| Square root | 164.730082 (= 16√106) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 20 |
| Scientific notation | 2.7136 × |
27136 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and thirty-six |
| Binary (base 2) | 110101000000000 |
| Octal (base 8) | 65000 |
| Hexadecimal (base 16) | 6A00 |
| Base 3 | 1101020001 |
| As time | 27136 seconds = 7 h 32 min 16 s |
Is 27136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27136 ÷ 2 = 13568) | 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 (27136 ÷ 4 = 6784) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (27136 ÷ 8 = 3392) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 27136 a prime number?
No. 27136 = × 53, so it is divisible by 2.
What are the factors of 27136?
1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1696, 3392, 6784, 13568, 27136.
What is 27136 in binary?
110101000000000 (hexadecimal 6A00, octal 65000).
What is the square root of 27136?
About 164.7301, exactly 16√106.
Is 27136 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27136?
It is a composite number with 20 divisors.