The number 270
270 is a composite number with 16 divisors. Its prime factorisation is 2 × × 5. Divisors (16): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 270: a Harshad number: divisible by its digit sum 9.
- 2
270 is composite. Its prime factorisation is
- 3
The divisors add up to 720; without 270 itself that is 450, so 270 is abundant (450 is more than 270). Euler's totient φ(270) = 72 numbers up to 270 share no factor with it.
- 4
The digits of 270 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 270 = 2 \times 3^{3} \times 5 \]270 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 720 |
| Euler totient φ(n) | 72 |
| Square | 72900 |
| Cube | 19683000 |
| Square root | 16.431677 (= 3√30) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 2.7 × |
270 in other forms
| Form | Value |
|---|---|
| In words | two hundred and seventy |
| Roman numerals | CCLXX |
| Binary (base 2) | 100001110 |
| Octal (base 8) | 416 |
| Hexadecimal (base 16) | 10E |
| Base 3 | 101000 |
| As time | 270 seconds = 4 min 30 s |
Is 270 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (270 ÷ 2 = 135) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (270 ÷ 3 = 90) | 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 (270 ÷ 5 = 54) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (270 ÷ 6 = 45) | 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 (270 ÷ 9 = 30) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (270 ÷ 10 = 27) | 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 270 a prime number?
No. 270 = 2 × × 5, so it is divisible by 2.
What are the factors of 270?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.
What is 270 in binary?
100001110 (hexadecimal 10E, octal 416).
What is the square root of 270?
About 16.4317, exactly 3√30.
What is 270 in Roman numerals?
CCLXX.
Is 270 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 270?
270 is a Harshad number: divisible by its digit sum 9.