The number 36920
36920 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 71. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 71, 104, 130, 142 … 36920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36920: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.
- 2
36920 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 36920 itself that is 53800, so 36920 is abundant (53800 is more than 36920). Euler's totient φ(36920) = 13440 numbers up to 36920 share no factor with it.
- 4
The digits of 36920 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36920 = 2^{3} \times 5 \times 13 \times 71 \]36920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 13440 |
| Square | 1363086400 |
| Cube | 50325149888000 |
| Square root | 192.145778 (= 2√9230) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.692 × |
36920 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and twenty |
| Binary (base 2) | 1001000000111000 |
| Octal (base 8) | 110070 |
| Hexadecimal (base 16) | 9038 |
| Base 3 | 1212122102 |
| As time | 36920 seconds = 10 h 15 min 20 s |
Is 36920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36920 ÷ 2 = 18460) | 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 (36920 ÷ 4 = 9230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36920 ÷ 5 = 7384) | 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 2) | 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 (36920 ÷ 8 = 4615) | 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 (36920 ÷ 10 = 3692) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36920 a prime number?
No. 36920 = × 5 × 13 × 71, so it is divisible by 2.
What are the factors of 36920?
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 71, 104, 130, 142, 260, 284, 355, 520, 568, 710, 923, 1420, 1846, 2840, 3692, 4615, 7384, 9230, 18460, 36920.
What is 36920 in binary?
1001000000111000 (hexadecimal 9038, octal 110070).
What is the square root of 36920?
About 192.1458, exactly 2√9230.
Is 36920 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36920?
36920 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.