The number 27040
27040 is a composite number with 36 divisors. Its prime factorisation is × 5 × . Divisors (36): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104 … 27040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27040: a Harshad number: divisible by its digit sum 13.
- 2
27040 is composite. Its prime factorisation is
- 3
The divisors add up to 69174; without 27040 itself that is 42134, so 27040 is abundant (42134 is more than 27040). Euler's totient φ(27040) = 9984 numbers up to 27040 share no factor with it.
- 4
The digits of 27040 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27040 = 2^{5} \times 5 \times 13^{2} \]27040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 69174 |
| Euler totient φ(n) | 9984 |
| Square | 731161600 |
| Cube | 19770609664000 |
| Square root | 164.438438 (= 52√10) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.704 × |
27040 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and forty |
| Binary (base 2) | 110100110100000 |
| Octal (base 8) | 64640 |
| Hexadecimal (base 16) | 69A0 |
| Base 3 | 1101002111 |
| As time | 27040 seconds = 7 h 30 min 40 s |
Is 27040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27040 ÷ 2 = 13520) | 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 (27040 ÷ 4 = 6760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27040 ÷ 5 = 5408) | 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 6) | 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 (27040 ÷ 8 = 3380) | 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 (27040 ÷ 10 = 2704) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 27040 a prime number?
No. 27040 = × 5 × , so it is divisible by 2.
What are the factors of 27040?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520, 27040.
What is 27040 in binary?
110100110100000 (hexadecimal 69A0, octal 64640).
What is the square root of 27040?
About 164.4384, exactly 52√10.
Is 27040 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27040?
27040 is a Harshad number: divisible by its digit sum 13.