The number 27140
27140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 59. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 59, 92, 115, 118, 230, 236, 295, 460 … 27140.
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How to work it out
- 1
What is special about 27140: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27140 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 27140 itself that is 33340, so 27140 is abundant (33340 is more than 27140). Euler's totient φ(27140) = 10208 numbers up to 27140 share no factor with it.
- 4
The digits of 27140 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27140 = 2^{2} \times 5 \times 23 \times 59 \]27140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 10208 |
| Square | 736579600 |
| Cube | 19990770344000 |
| Square root | 164.742223 (= 2√6785) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.714 × |
27140 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and forty |
| Binary (base 2) | 110101000000100 |
| Octal (base 8) | 65004 |
| Hexadecimal (base 16) | 6A04 |
| Base 3 | 1101020012 |
| As time | 27140 seconds = 7 h 32 min 20 s |
Is 27140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27140 ÷ 2 = 13570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27140 ÷ 4 = 6785) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27140 ÷ 5 = 5428) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27140 ÷ 10 = 2714) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27140 a prime number?
No. 27140 = × 5 × 23 × 59, so it is divisible by 2.
What are the factors of 27140?
1, 2, 4, 5, 10, 20, 23, 46, 59, 92, 115, 118, 230, 236, 295, 460, 590, 1180, 1357, 2714, 5428, 6785, 13570, 27140.
What is 27140 in binary?
110101000000100 (hexadecimal 6A04, octal 65004).
What is the square root of 27140?
About 164.7422, exactly 2√6785.
Is 27140 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27140?
27140 is a happy number: repeatedly adding the squares of its digits reaches 1.