The number 36720
36720 is a composite number with 80 divisors. Its prime factorisation is × × 5 × 17. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24 … 36720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36720: a Harshad number: divisible by its digit sum 18.
- 2
36720 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 36720 itself that is 97200, so 36720 is abundant (97200 is more than 36720). Euler's totient φ(36720) = 9216 numbers up to 36720 share no factor with it.
- 4
The digits of 36720 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36720 = 2^{4} \times 3^{3} \times 5 \times 17 \]36720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 9216 |
| Square | 1348358400 |
| Cube | 49511720448000 |
| Square root | 191.624633 (= 12√255) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.672 × |
36720 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and twenty |
| Binary (base 2) | 1000111101110000 |
| Octal (base 8) | 107560 |
| Hexadecimal (base 16) | 8F70 |
| Base 3 | 1212101000 |
| As time | 36720 seconds = 10 h 12 min 0 s |
Is 36720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36720 ÷ 2 = 18360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36720 ÷ 3 = 12240) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36720 ÷ 4 = 9180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36720 ÷ 5 = 7344) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36720 ÷ 6 = 6120) | 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 | Yes (36720 ÷ 8 = 4590) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36720 ÷ 9 = 4080) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36720 ÷ 10 = 3672) | 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 | Yes (36720 ÷ 12 = 3060) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36720 a prime number?
No. 36720 = × × 5 × 17, so it is divisible by 2.
What are the factors of 36720?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 48, 51, 54, 60, 68, 72, 80, 85, 90, 102, 108, 120, 135, 136, 144, 153, 170, 180, 204, 216, 240, 255, 270, 272, 306, 340, 360, 408, 432, 459, 510, 540, 612, 680, 720, 765, 816, 918, 1020, 1080, 1224, 1360, 1530, 1836, 2040, 2160, 2295, 2448, 3060, 3672, 4080, 4590, 6120, 7344, 9180, 12240, 18360, 36720.
What is 36720 in binary?
1000111101110000 (hexadecimal 8F70, octal 107560).
What is the square root of 36720?
About 191.6246, exactly 12√255.
Is 36720 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36720?
36720 is a Harshad number: divisible by its digit sum 18.