The number 27150
27150 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 181. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 181, 362, 543, 905 … 27150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27150: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
27150 is composite. Its prime factorisation is
- 3
The divisors add up to 67704; without 27150 itself that is 40554, so 27150 is abundant (40554 is more than 27150). Euler's totient φ(27150) = 7200 numbers up to 27150 share no factor with it.
- 4
The digits of 27150 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27150 = 2 \times 3 \times 5^{2} \times 181 \]27150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67704 |
| Euler totient φ(n) | 7200 |
| Square | 737122500 |
| Cube | 20012875875000 |
| Square root | 164.772571 (= 5√1086) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.715 × |
27150 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and fifty |
| Binary (base 2) | 110101000001110 |
| Octal (base 8) | 65016 |
| Hexadecimal (base 16) | 6A0E |
| Base 3 | 1101020120 |
| As time | 27150 seconds = 7 h 32 min 30 s |
Is 27150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27150 ÷ 2 = 13575) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27150 ÷ 3 = 9050) | 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 (27150 ÷ 5 = 5430) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27150 ÷ 6 = 4525) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27150 ÷ 10 = 2715) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27150 a prime number?
No. 27150 = 2 × 3 × × 181, so it is divisible by 2.
What are the factors of 27150?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 181, 362, 543, 905, 1086, 1810, 2715, 4525, 5430, 9050, 13575, 27150.
What is 27150 in binary?
110101000001110 (hexadecimal 6A0E, octal 65016).
What is the square root of 27150?
About 164.7726, exactly 5√1086.
Is 27150 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27150?
27150 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.