The number 27990
27990 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 311. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 311, 622, 933, 1555 … 27990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27990 is composite. Its prime factorisation is
- 3
The divisors add up to 73008; without 27990 itself that is 45018, so 27990 is abundant (45018 is more than 27990). Euler's totient φ(27990) = 7440 numbers up to 27990 share no factor with it.
- 4
The digits of 27990 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27990 = 2 \times 3^{2} \times 5 \times 311 \]27990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 73008 |
| Euler totient φ(n) | 7440 |
| Square | 783440100 |
| Cube | 21928488399000 |
| Square root | 167.302122 (= 3√3110) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.799 × |
27990 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and ninety |
| Binary (base 2) | 110110101010110 |
| Octal (base 8) | 66526 |
| Hexadecimal (base 16) | 6D56 |
| Base 3 | 1102101200 |
| As time | 27990 seconds = 7 h 46 min 30 s |
Is 27990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27990 ÷ 2 = 13995) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27990 ÷ 3 = 9330) | 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 (27990 ÷ 5 = 5598) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27990 ÷ 6 = 4665) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (27990 ÷ 9 = 3110) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27990 ÷ 10 = 2799) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 27990 a prime number?
No. 27990 = 2 × × 5 × 311, so it is divisible by 2.
What are the factors of 27990?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 311, 622, 933, 1555, 1866, 2799, 3110, 4665, 5598, 9330, 13995, 27990.
What is 27990 in binary?
110110101010110 (hexadecimal 6D56, octal 66526).
What is the square root of 27990?
About 167.3021, exactly 3√3110.
Is 27990 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27990?
It is a composite number with 24 divisors.