The number 27740
27740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 73. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 73, 76, 95, 146, 190, 292, 365, 380 … 27740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27740: a Harshad number: divisible by its digit sum 20.
- 2
27740 is composite. Its prime factorisation is
- 3
The divisors add up to 62160; without 27740 itself that is 34420, so 27740 is abundant (34420 is more than 27740). Euler's totient φ(27740) = 10368 numbers up to 27740 share no factor with it.
- 4
The digits of 27740 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
\[ 27740 = 2^{2} \times 5 \times 19 \times 73 \]27740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62160 |
| Euler totient φ(n) | 10368 |
| Square | 769507600 |
| Cube | 21346140824000 |
| Square root | 166.553295 (= 2√6935) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.774 × |
27740 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and forty |
| Binary (base 2) | 110110001011100 |
| Octal (base 8) | 66134 |
| Hexadecimal (base 16) | 6C5C |
| Base 3 | 1102001102 |
| As time | 27740 seconds = 7 h 42 min 20 s |
Is 27740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27740 ÷ 2 = 13870) | 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 (27740 ÷ 4 = 6935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27740 ÷ 5 = 5548) | 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 6) | 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 (27740 ÷ 10 = 2774) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 27740 a prime number?
No. 27740 = × 5 × 19 × 73, so it is divisible by 2.
What are the factors of 27740?
1, 2, 4, 5, 10, 19, 20, 38, 73, 76, 95, 146, 190, 292, 365, 380, 730, 1387, 1460, 2774, 5548, 6935, 13870, 27740.
What is 27740 in binary?
110110001011100 (hexadecimal 6C5C, octal 66134).
What is the square root of 27740?
About 166.5533, exactly 2√6935.
Is 27740 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27740?
27740 is a Harshad number: divisible by its digit sum 20.