The number 27920
27920 is a composite number with 20 divisors. Its prime factorisation is × 5 × 349. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 349, 698, 1396, 1745, 2792, 3490 … 27920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27920: a Harshad number: divisible by its digit sum 20.
- 2
27920 is composite. Its prime factorisation is
- 3
The divisors add up to 65100; without 27920 itself that is 37180, so 27920 is abundant (37180 is more than 27920). Euler's totient φ(27920) = 11136 numbers up to 27920 share no factor with it.
- 4
The digits of 27920 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
\[ 27920 = 2^{4} \times 5 \times 349 \]27920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 65100 |
| Euler totient φ(n) | 11136 |
| Square | 779526400 |
| Cube | 21764377088000 |
| Square root | 167.092789 (= 4√1745) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.792 × |
27920 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and twenty |
| Binary (base 2) | 110110100010000 |
| Octal (base 8) | 66420 |
| Hexadecimal (base 16) | 6D10 |
| Base 3 | 1102022002 |
| As time | 27920 seconds = 7 h 45 min 20 s |
Is 27920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27920 ÷ 2 = 13960) | 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 (27920 ÷ 4 = 6980) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27920 ÷ 5 = 5584) | 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 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 | Yes (27920 ÷ 8 = 3490) | 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 (27920 ÷ 10 = 2792) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 27920 a prime number?
No. 27920 = × 5 × 349, so it is divisible by 2.
What are the factors of 27920?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 349, 698, 1396, 1745, 2792, 3490, 5584, 6980, 13960, 27920.
What is 27920 in binary?
110110100010000 (hexadecimal 6D10, octal 66420).
What is the square root of 27920?
About 167.0928, exactly 4√1745.
Is 27920 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27920?
27920 is a Harshad number: divisible by its digit sum 20.