The number 36740
36740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 167. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 167, 220, 334, 668, 835 … 36740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36740: a Harshad number: divisible by its digit sum 20.
- 2
36740 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 36740 itself that is 47932, so 36740 is abundant (47932 is more than 36740). Euler's totient φ(36740) = 13280 numbers up to 36740 share no factor with it.
- 4
The digits of 36740 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36740 = 2^{2} \times 5 \times 11 \times 167 \]36740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 13280 |
| Square | 1349827600 |
| Cube | 49592666024000 |
| Square root | 191.676811 (= 2√9185) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.674 × |
36740 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and forty |
| Binary (base 2) | 1000111110000100 |
| Octal (base 8) | 107604 |
| Hexadecimal (base 16) | 8F84 |
| Base 3 | 1212101202 |
| As time | 36740 seconds = 10 h 12 min 20 s |
Is 36740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36740 ÷ 2 = 18370) | 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 (36740 ÷ 4 = 9185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36740 ÷ 5 = 7348) | 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 | No (remainder 4) | 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 (36740 ÷ 10 = 3674) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (36740 ÷ 11 = 3340) | 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 36740 a prime number?
No. 36740 = × 5 × 11 × 167, so it is divisible by 2.
What are the factors of 36740?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 167, 220, 334, 668, 835, 1670, 1837, 3340, 3674, 7348, 9185, 18370, 36740.
What is 36740 in binary?
1000111110000100 (hexadecimal 8F84, octal 107604).
What is the square root of 36740?
About 191.6768, exactly 2√9185.
Is 36740 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36740?
36740 is a Harshad number: divisible by its digit sum 20.