The number 27390
27390 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 83. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 83, 110, 165 … 27390.
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How to work it out
- 1
27390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27390 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 27390 itself that is 45186, so 27390 is abundant (45186 is more than 27390). Euler's totient φ(27390) = 6560 numbers up to 27390 share no factor with it.
- 4
The digits of 27390 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27390 = 2 \times 3 \times 5 \times 11 \times 83 \]
27390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 6560 |
| Square | 750212100 |
| Cube | 20548309419000 |
| Square root | 165.499245 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.739 × |
27390 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and ninety |
| Binary (base 2) | 110101011111110 |
| Octal (base 8) | 65376 |
| Hexadecimal (base 16) | 6AFE |
| Base 3 | 1101120110 |
| As time | 27390 seconds = 7 h 36 min 30 s |
Is 27390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27390 ÷ 2 = 13695) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27390 ÷ 3 = 9130) | 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 (27390 ÷ 5 = 5478) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27390 ÷ 6 = 4565) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27390 ÷ 10 = 2739) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27390 ÷ 11 = 2490) | 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 27390 a prime number?
No. 27390 = 2 × 3 × 5 × 11 × 83, so it is divisible by 2.
What are the factors of 27390?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 83, 110, 165, 166, 249, 330, 415, 498, 830, 913, 1245, 1826, 2490, 2739, 4565, 5478, 9130, 13695, 27390.
What is 27390 in binary?
110101011111110 (hexadecimal 6AFE, octal 65376).
What is the square root of 27390?
About 165.4992.
Is 27390 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27390?
It is a composite number with 32 divisors.