The number 27900
27900 is a composite number with 54 divisors. Its prime factorisation is × × × 31. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 31, 36 … 27900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27900: a Harshad number: divisible by its digit sum 18.
- 2
27900 is composite. Its prime factorisation is
- 3
The divisors add up to 90272; without 27900 itself that is 62372, so 27900 is abundant (62372 is more than 27900). Euler's totient φ(27900) = 7200 numbers up to 27900 share no factor with it.
- 4
The digits of 27900 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 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27900 = 2^{2} \times 3^{2} \times 5^{2} \times 31 \]27900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 90272 |
| Euler totient φ(n) | 7200 |
| Square | 778410000 |
| Cube | 21717639000000 |
| Square root | 167.032931 (= 30√31) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.79 × |
27900 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred |
| Binary (base 2) | 110110011111100 |
| Octal (base 8) | 66374 |
| Hexadecimal (base 16) | 6CFC |
| Base 3 | 1102021100 |
| As time | 27900 seconds = 7 h 45 min 0 s |
Is 27900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27900 ÷ 2 = 13950) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27900 ÷ 3 = 9300) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27900 ÷ 4 = 6975) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27900 ÷ 5 = 5580) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27900 ÷ 6 = 4650) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27900 ÷ 9 = 3100) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27900 ÷ 10 = 2790) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27900 ÷ 12 = 2325) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27900 a prime number?
No. 27900 = × × × 31, so it is divisible by 2.
What are the factors of 27900?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 31, 36, 45, 50, 60, 62, 75, 90, 93, 100, 124, 150, 155, 180, 186, 225, 279, 300, 310, 372, 450, 465, 558, 620, 775, 900, 930, 1116, 1395, 1550, 1860, 2325, 2790, 3100, 4650, 5580, 6975, 9300, 13950, 27900.
What is 27900 in binary?
110110011111100 (hexadecimal 6CFC, octal 66374).
What is the square root of 27900?
About 167.0329, exactly 30√31.
Is 27900 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27900?
27900 is a Harshad number: divisible by its digit sum 18.