The number 27010
27010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 37 × 73. Divisors (16): 1, 2, 5, 10, 37, 73, 74, 146, 185, 365, 370, 730, 2701, 5402, 13505, 27010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27010: a Harshad number: divisible by its digit sum 10.
- 2
27010 is composite. Its prime factorisation is
- 3
The divisors add up to 50616; without 27010 itself that is 23606, so 27010 is deficient (23606 is less than 27010). Euler's totient φ(27010) = 10368 numbers up to 27010 share no factor with it.
- 4
The digits of 27010 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27010 = 2 \times 5 \times 37 \times 73 \]
27010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 50616 |
| Euler totient φ(n) | 10368 |
| Square | 729540100 |
| Cube | 19704878101000 |
| Square root | 164.347193 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.701 × |
27010 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and ten |
| Binary (base 2) | 110100110000010 |
| Octal (base 8) | 64602 |
| Hexadecimal (base 16) | 6982 |
| Base 3 | 1101001101 |
| As time | 27010 seconds = 7 h 30 min 10 s |
Is 27010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27010 ÷ 2 = 13505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (27010 ÷ 5 = 5402) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27010 ÷ 10 = 2701) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27010 a prime number?
No. 27010 = 2 × 5 × 37 × 73, so it is divisible by 2.
What are the factors of 27010?
1, 2, 5, 10, 37, 73, 74, 146, 185, 365, 370, 730, 2701, 5402, 13505, 27010.
What is 27010 in binary?
110100110000010 (hexadecimal 6982, octal 64602).
What is the square root of 27010?
About 164.3472.
Is 27010 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 27010?
27010 is a Harshad number: divisible by its digit sum 10.