The number 27460
27460 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1373. Divisors (12): 1, 2, 4, 5, 10, 20, 1373, 2746, 5492, 6865, 13730, 27460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27460 is composite. Its prime factorisation is
- 3
The divisors add up to 57708; without 27460 itself that is 30248, so 27460 is abundant (30248 is more than 27460). Euler's totient φ(27460) = 10976 numbers up to 27460 share no factor with it.
- 4
The digits of 27460 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27460 = 2^{2} \times 5 \times 1373 \]27460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57708 |
| Euler totient φ(n) | 10976 |
| Square | 754051600 |
| Cube | 20706256936000 |
| Square root | 165.710591 (= 2√6865) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.746 × |
27460 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and sixty |
| Binary (base 2) | 110101101000100 |
| Octal (base 8) | 65504 |
| Hexadecimal (base 16) | 6B44 |
| Base 3 | 1101200001 |
| As time | 27460 seconds = 7 h 37 min 40 s |
Is 27460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27460 ÷ 2 = 13730) | 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 (27460 ÷ 4 = 6865) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27460 ÷ 5 = 5492) | 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 6) | 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 4) | 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 (27460 ÷ 10 = 2746) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 27460 a prime number?
No. 27460 = × 5 × 1373, so it is divisible by 2.
What are the factors of 27460?
1, 2, 4, 5, 10, 20, 1373, 2746, 5492, 6865, 13730, 27460.
What is 27460 in binary?
110101101000100 (hexadecimal 6B44, octal 65504).
What is the square root of 27460?
About 165.7106, exactly 2√6865.
Is 27460 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27460?
It is a composite number with 12 divisors.