The number 37640
37640 is a composite number with 16 divisors. Its prime factorisation is × 5 × 941. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 941, 1882, 3764, 4705, 7528, 9410, 18820, 37640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37640: a Harshad number: divisible by its digit sum 20.
- 2
37640 is composite. Its prime factorisation is
- 3
The divisors add up to 84780; without 37640 itself that is 47140, so 37640 is abundant (47140 is more than 37640). Euler's totient φ(37640) = 15040 numbers up to 37640 share no factor with it.
- 4
The digits of 37640 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37640 = 2^{3} \times 5 \times 941 \]37640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84780 |
| Euler totient φ(n) | 15040 |
| Square | 1416769600 |
| Cube | 53327207744000 |
| Square root | 194.010309 (= 2√9410) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.764 × |
37640 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and forty |
| Binary (base 2) | 1001001100001000 |
| Octal (base 8) | 111410 |
| Hexadecimal (base 16) | 9308 |
| Base 3 | 1220122002 |
| As time | 37640 seconds = 10 h 27 min 20 s |
Is 37640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37640 ÷ 2 = 18820) | 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 (37640 ÷ 4 = 9410) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37640 ÷ 5 = 7528) | 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 1) | 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 (37640 ÷ 8 = 4705) | 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 (37640 ÷ 10 = 3764) | 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 37640 a prime number?
No. 37640 = × 5 × 941, so it is divisible by 2.
What are the factors of 37640?
1, 2, 4, 5, 8, 10, 20, 40, 941, 1882, 3764, 4705, 7528, 9410, 18820, 37640.
What is 37640 in binary?
1001001100001000 (hexadecimal 9308, octal 111410).
What is the square root of 37640?
About 194.0103, exactly 2√9410.
Is 37640 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37640?
37640 is a Harshad number: divisible by its digit sum 20.