The number 27560
27560 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 53. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 53, 65, 104, 106, 130 … 27560.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27560: a Harshad number: divisible by its digit sum 20.
- 2
27560 is composite. Its prime factorisation is
- 3
The divisors add up to 68040; without 27560 itself that is 40480, so 27560 is abundant (40480 is more than 27560). Euler's totient φ(27560) = 9984 numbers up to 27560 share no factor with it.
- 4
The digits of 27560 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27560 = 2^{3} \times 5 \times 13 \times 53 \]27560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 68040 |
| Euler totient φ(n) | 9984 |
| Square | 759553600 |
| Cube | 20933297216000 |
| Square root | 166.012048 (= 2√6890) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.756 × |
27560 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and sixty |
| Binary (base 2) | 110101110101000 |
| Octal (base 8) | 65650 |
| Hexadecimal (base 16) | 6BA8 |
| Base 3 | 1101210202 |
| As time | 27560 seconds = 7 h 39 min 20 s |
Is 27560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27560 ÷ 2 = 13780) | 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 (27560 ÷ 4 = 6890) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27560 ÷ 5 = 5512) | 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 | Yes (27560 ÷ 8 = 3445) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27560 ÷ 10 = 2756) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 27560 a prime number?
No. 27560 = × 5 × 13 × 53, so it is divisible by 2.
What are the factors of 27560?
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 53, 65, 104, 106, 130, 212, 260, 265, 424, 520, 530, 689, 1060, 1378, 2120, 2756, 3445, 5512, 6890, 13780, 27560.
What is 27560 in binary?
110101110101000 (hexadecimal 6BA8, octal 65650).
What is the square root of 27560?
About 166.0120, exactly 2√6890.
Is 27560 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27560?
27560 is a Harshad number: divisible by its digit sum 20.