The number 27020
27020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 193. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 193, 386, 772, 965 … 27020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27020 is composite. Its prime factorisation is
- 3
The divisors add up to 65184; without 27020 itself that is 38164, so 27020 is abundant (38164 is more than 27020). Euler's totient φ(27020) = 9216 numbers up to 27020 share no factor with it.
- 4
The digits of 27020 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27020 = 2^{2} \times 5 \times 7 \times 193 \]27020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 65184 |
| Euler totient φ(n) | 9216 |
| Square | 730080400 |
| Cube | 19726772408000 |
| Square root | 164.377614 (= 2√6755) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.702 × |
27020 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and twenty |
| Binary (base 2) | 110100110001100 |
| Octal (base 8) | 64614 |
| Hexadecimal (base 16) | 698C |
| Base 3 | 1101001202 |
| As time | 27020 seconds = 7 h 30 min 20 s |
Is 27020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27020 ÷ 2 = 13510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27020 ÷ 4 = 6755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27020 ÷ 5 = 5404) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27020 ÷ 7 = 3860) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27020 ÷ 10 = 2702) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27020 a prime number?
No. 27020 = × 5 × 7 × 193, so it is divisible by 2.
What are the factors of 27020?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 193, 386, 772, 965, 1351, 1930, 2702, 3860, 5404, 6755, 13510, 27020.
What is 27020 in binary?
110100110001100 (hexadecimal 698C, octal 64614).
What is the square root of 27020?
About 164.3776, exactly 2√6755.
Is 27020 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 27020?
It is a composite number with 24 divisors.