The number 27940
27940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 127. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 127, 220, 254, 508, 635 … 27940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27940: a Harshad number: divisible by its digit sum 22.
- 2
27940 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 27940 itself that is 36572, so 27940 is abundant (36572 is more than 27940). Euler's totient φ(27940) = 10080 numbers up to 27940 share no factor with it.
- 4
The digits of 27940 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27940 = 2^{2} \times 5 \times 11 \times 127 \]27940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 10080 |
| Square | 780643600 |
| Cube | 21811182184000 |
| Square root | 167.152625 (= 2√6985) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.794 × |
27940 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and forty |
| Binary (base 2) | 110110100100100 |
| Octal (base 8) | 66444 |
| Hexadecimal (base 16) | 6D24 |
| Base 3 | 1102022211 |
| As time | 27940 seconds = 7 h 45 min 40 s |
Is 27940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27940 ÷ 2 = 13970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27940 ÷ 4 = 6985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27940 ÷ 5 = 5588) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27940 ÷ 10 = 2794) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27940 ÷ 11 = 2540) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27940 a prime number?
No. 27940 = × 5 × 11 × 127, so it is divisible by 2.
What are the factors of 27940?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 127, 220, 254, 508, 635, 1270, 1397, 2540, 2794, 5588, 6985, 13970, 27940.
What is 27940 in binary?
110110100100100 (hexadecimal 6D24, octal 66444).
What is the square root of 27940?
About 167.1526, exactly 2√6985.
Is 27940 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27940?
27940 is a Harshad number: divisible by its digit sum 22.