The number 27280
27280 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 31. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 40, 44, 55, 62, 80 … 27280.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27280 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27280 is composite. Its prime factorisation is
- 3
The divisors add up to 71424; without 27280 itself that is 44144, so 27280 is abundant (44144 is more than 27280). Euler's totient φ(27280) = 9600 numbers up to 27280 share no factor with it.
- 4
The digits of 27280 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27280 = 2^{4} \times 5 \times 11 \times 31 \]27280 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 71424 |
| Euler totient φ(n) | 9600 |
| Square | 744198400 |
| Cube | 20301732352000 |
| Square root | 165.166583 (= 4√1705) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.728 × |
27280 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and eighty |
| Binary (base 2) | 110101010010000 |
| Octal (base 8) | 65220 |
| Hexadecimal (base 16) | 6A90 |
| Base 3 | 1101102101 |
| As time | 27280 seconds = 7 h 34 min 40 s |
Is 27280 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27280 ÷ 2 = 13640) | 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 (27280 ÷ 4 = 6820) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27280 ÷ 5 = 5456) | 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 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 (27280 ÷ 8 = 3410) | 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 (27280 ÷ 10 = 2728) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27280 ÷ 11 = 2480) | 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 27280 a prime number?
No. 27280 = × 5 × 11 × 31, so it is divisible by 2.
What are the factors of 27280?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 40, 44, 55, 62, 80, 88, 110, 124, 155, 176, 220, 248, 310, 341, 440, 496, 620, 682, 880, 1240, 1364, 1705, 2480, 2728, 3410, 5456, 6820, 13640, 27280.
What is 27280 in binary?
110101010010000 (hexadecimal 6A90, octal 65220).
What is the square root of 27280?
About 165.1666, exactly 4√1705.
Is 27280 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27280?
It is a composite number with 40 divisors.