The number 27420
27420 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 457. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 457, 914, 1371, 1828 … 27420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27420: a Harshad number: divisible by its digit sum 15.
- 2
27420 is composite. Its prime factorisation is
- 3
The divisors add up to 76944; without 27420 itself that is 49524, so 27420 is abundant (49524 is more than 27420). Euler's totient φ(27420) = 7296 numbers up to 27420 share no factor with it.
- 4
The digits of 27420 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
\[ 27420 = 2^{2} \times 3 \times 5 \times 457 \]27420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 76944 |
| Euler totient φ(n) | 7296 |
| Square | 751856400 |
| Cube | 20615902488000 |
| Square root | 165.589855 (= 2√6855) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.742 × |
27420 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and twenty |
| Binary (base 2) | 110101100011100 |
| Octal (base 8) | 65434 |
| Hexadecimal (base 16) | 6B1C |
| Base 3 | 1101121120 |
| As time | 27420 seconds = 7 h 37 min 0 s |
Is 27420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27420 ÷ 2 = 13710) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27420 ÷ 3 = 9140) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27420 ÷ 4 = 6855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27420 ÷ 5 = 5484) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27420 ÷ 6 = 4570) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27420 ÷ 10 = 2742) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27420 ÷ 12 = 2285) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27420 a prime number?
No. 27420 = × 3 × 5 × 457, so it is divisible by 2.
What are the factors of 27420?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 457, 914, 1371, 1828, 2285, 2742, 4570, 5484, 6855, 9140, 13710, 27420.
What is 27420 in binary?
110101100011100 (hexadecimal 6B1C, octal 65434).
What is the square root of 27420?
About 165.5899, exactly 2√6855.
Is 27420 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27420?
27420 is a Harshad number: divisible by its digit sum 15.