The number 37140
37140 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 619. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 619, 1238, 1857, 2476 … 37140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37140: a Harshad number: divisible by its digit sum 15.
- 2
37140 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 37140 itself that is 67020, so 37140 is abundant (67020 is more than 37140). Euler's totient φ(37140) = 9888 numbers up to 37140 share no factor with it.
- 4
The digits of 37140 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37140 = 2^{2} \times 3 \times 5 \times 619 \]37140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 9888 |
| Square | 1379379600 |
| Cube | 51230158344000 |
| Square root | 192.717410 (= 2√9285) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.714 × |
37140 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and forty |
| Binary (base 2) | 1001000100010100 |
| Octal (base 8) | 110424 |
| Hexadecimal (base 16) | 9114 |
| Base 3 | 1212221120 |
| As time | 37140 seconds = 10 h 19 min 0 s |
Is 37140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37140 ÷ 2 = 18570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37140 ÷ 3 = 12380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37140 ÷ 4 = 9285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37140 ÷ 5 = 7428) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37140 ÷ 6 = 6190) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37140 ÷ 10 = 3714) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37140 ÷ 12 = 3095) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37140 a prime number?
No. 37140 = × 3 × 5 × 619, so it is divisible by 2.
What are the factors of 37140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 619, 1238, 1857, 2476, 3095, 3714, 6190, 7428, 9285, 12380, 18570, 37140.
What is 37140 in binary?
1001000100010100 (hexadecimal 9114, octal 110424).
What is the square root of 37140?
About 192.7174, exactly 2√9285.
Is 37140 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 37140?
37140 is a Harshad number: divisible by its digit sum 15.