The number 37120
37120 is a composite number with 36 divisors. Its prime factorisation is × 5 × 29. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128 … 37120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37120 is composite. Its prime factorisation is
- 3
The divisors add up to 91980; without 37120 itself that is 54860, so 37120 is abundant (54860 is more than 37120). Euler's totient φ(37120) = 14336 numbers up to 37120 share no factor with it.
- 4
The digits of 37120 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37120 = 2^{8} \times 5 \times 29 \]37120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 91980 |
| Euler totient φ(n) | 14336 |
| Square | 1377894400 |
| Cube | 51147440128000 |
| Square root | 192.665513 (= 16√145) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.712 × |
37120 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and twenty |
| Binary (base 2) | 1001000100000000 |
| Octal (base 8) | 110400 |
| Hexadecimal (base 16) | 9100 |
| Base 3 | 1212220211 |
| As time | 37120 seconds = 10 h 18 min 40 s |
Is 37120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37120 ÷ 2 = 18560) | 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 (37120 ÷ 4 = 9280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37120 ÷ 5 = 7424) | 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 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 | Yes (37120 ÷ 8 = 4640) | 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 (37120 ÷ 10 = 3712) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 37120 a prime number?
No. 37120 = × 5 × 29, so it is divisible by 2.
What are the factors of 37120?
1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 256, 290, 320, 464, 580, 640, 928, 1160, 1280, 1856, 2320, 3712, 4640, 7424, 9280, 18560, 37120.
What is 37120 in binary?
1001000100000000 (hexadecimal 9100, octal 110400).
What is the square root of 37120?
About 192.6655, exactly 16√145.
Is 37120 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 37120?
It is a composite number with 36 divisors.