The number 27400
27400 is a composite number with 24 divisors. Its prime factorisation is × × 137. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 137, 200, 274, 548, 685 … 27400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27400 is composite. Its prime factorisation is
- 3
The divisors add up to 64170; without 27400 itself that is 36770, so 27400 is abundant (36770 is more than 27400). Euler's totient φ(27400) = 10880 numbers up to 27400 share no factor with it.
- 4
The digits of 27400 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27400 = 2^{3} \times 5^{2} \times 137 \]27400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 64170 |
| Euler totient φ(n) | 10880 |
| Square | 750760000 |
| Cube | 20570824000000 |
| Square root | 165.529454 (= 10√274) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.74 × |
27400 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred |
| Binary (base 2) | 110101100001000 |
| Octal (base 8) | 65410 |
| Hexadecimal (base 16) | 6B08 |
| Base 3 | 1101120211 |
| As time | 27400 seconds = 7 h 36 min 40 s |
Is 27400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27400 ÷ 2 = 13700) | 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 (27400 ÷ 4 = 6850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27400 ÷ 5 = 5480) | 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 2) | 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 (27400 ÷ 8 = 3425) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27400 ÷ 10 = 2740) | 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 27400 a prime number?
No. 27400 = × × 137, so it is divisible by 2.
What are the factors of 27400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 137, 200, 274, 548, 685, 1096, 1370, 2740, 3425, 5480, 6850, 13700, 27400.
What is 27400 in binary?
110101100001000 (hexadecimal 6B08, octal 65410).
What is the square root of 27400?
About 165.5295, exactly 10√274.
Is 27400 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27400?
It is a composite number with 24 divisors.