The number 27380
27380 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740, 1369, 2738, 5476, 6845 … 27380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27380: a Harshad number: divisible by its digit sum 20.
- 2
27380 is composite. Its prime factorisation is
- 3
The divisors add up to 59094; without 27380 itself that is 31714, so 27380 is abundant (31714 is more than 27380). Euler's totient φ(27380) = 10656 numbers up to 27380 share no factor with it.
- 4
The digits of 27380 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27380 = 2^{2} \times 5 \times 37^{2} \]27380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 59094 |
| Euler totient φ(n) | 10656 |
| Square | 749664400 |
| Cube | 20525811272000 |
| Square root | 165.469030 (= 74√5) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.738 × |
27380 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and eighty |
| Binary (base 2) | 110101011110100 |
| Octal (base 8) | 65364 |
| Hexadecimal (base 16) | 6AF4 |
| Base 3 | 1101120002 |
| As time | 27380 seconds = 7 h 36 min 20 s |
Is 27380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27380 ÷ 2 = 13690) | 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 (27380 ÷ 4 = 6845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27380 ÷ 5 = 5476) | 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 | No (remainder 3) | 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 (27380 ÷ 10 = 2738) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 27380 a prime number?
No. 27380 = × 5 × , so it is divisible by 2.
What are the factors of 27380?
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740, 1369, 2738, 5476, 6845, 13690, 27380.
What is 27380 in binary?
110101011110100 (hexadecimal 6AF4, octal 65364).
What is the square root of 27380?
About 165.4690, exactly 74√5.
Is 27380 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27380?
27380 is a Harshad number: divisible by its digit sum 20.