The number 27090
27090 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 43. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 43 … 27090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27090: a Harshad number: divisible by its digit sum 18.
- 2
27090 is composite. Its prime factorisation is
- 3
The divisors add up to 82368; without 27090 itself that is 55278, so 27090 is abundant (55278 is more than 27090). Euler's totient φ(27090) = 6048 numbers up to 27090 share no factor with it.
- 4
The digits of 27090 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27090 = 2 \times 3^{2} \times 5 \times 7 \times 43 \]27090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 82368 |
| Euler totient φ(n) | 6048 |
| Square | 733868100 |
| Cube | 19880486829000 |
| Square root | 164.590401 (= 3√3010) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.709 × |
27090 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and ninety |
| Binary (base 2) | 110100111010010 |
| Octal (base 8) | 64722 |
| Hexadecimal (base 16) | 69D2 |
| Base 3 | 1101011100 |
| As time | 27090 seconds = 7 h 31 min 30 s |
Is 27090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27090 ÷ 2 = 13545) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27090 ÷ 3 = 9030) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27090 ÷ 5 = 5418) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27090 ÷ 6 = 4515) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27090 ÷ 7 = 3870) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27090 ÷ 9 = 3010) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27090 ÷ 10 = 2709) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27090 a prime number?
No. 27090 = 2 × × 5 × 7 × 43, so it is divisible by 2.
What are the factors of 27090?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 43, 45, 63, 70, 86, 90, 105, 126, 129, 210, 215, 258, 301, 315, 387, 430, 602, 630, 645, 774, 903, 1290, 1505, 1806, 1935, 2709, 3010, 3870, 4515, 5418, 9030, 13545, 27090.
What is 27090 in binary?
110100111010010 (hexadecimal 69D2, octal 64722).
What is the square root of 27090?
About 164.5904, exactly 3√3010.
Is 27090 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27090?
27090 is a Harshad number: divisible by its digit sum 18.