The number 27240
27240 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 227. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 27240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27240: a Harshad number: divisible by its digit sum 15.
- 2
27240 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 27240 itself that is 54840, so 27240 is abundant (54840 is more than 27240). Euler's totient φ(27240) = 7232 numbers up to 27240 share no factor with it.
- 4
The digits of 27240 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27240 = 2^{3} \times 3 \times 5 \times 227 \]27240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 7232 |
| Square | 742017600 |
| Cube | 20212559424000 |
| Square root | 165.045448 (= 2√6810) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.724 × |
27240 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and forty |
| Binary (base 2) | 110101001101000 |
| Octal (base 8) | 65150 |
| Hexadecimal (base 16) | 6A68 |
| Base 3 | 1101100220 |
| As time | 27240 seconds = 7 h 34 min 0 s |
Is 27240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27240 ÷ 2 = 13620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27240 ÷ 3 = 9080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27240 ÷ 4 = 6810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27240 ÷ 5 = 5448) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27240 ÷ 6 = 4540) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (27240 ÷ 8 = 3405) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27240 ÷ 10 = 2724) | 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 | Yes (27240 ÷ 12 = 2270) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27240 a prime number?
No. 27240 = × 3 × 5 × 227, so it is divisible by 2.
What are the factors of 27240?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 227, 454, 681, 908, 1135, 1362, 1816, 2270, 2724, 3405, 4540, 5448, 6810, 9080, 13620, 27240.
What is 27240 in binary?
110101001101000 (hexadecimal 6A68, octal 65150).
What is the square root of 27240?
About 165.0454, exactly 2√6810.
Is 27240 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27240?
27240 is a Harshad number: divisible by its digit sum 15.