The number 36380
36380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 107. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 107, 170, 214, 340, 428, 535 … 36380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36380: a Harshad number: divisible by its digit sum 20.
- 2
36380 is composite. Its prime factorisation is
- 3
The divisors add up to 81648; without 36380 itself that is 45268, so 36380 is abundant (45268 is more than 36380). Euler's totient φ(36380) = 13568 numbers up to 36380 share no factor with it.
- 4
The digits of 36380 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36380 = 2^{2} \times 5 \times 17 \times 107 \]36380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 81648 |
| Euler totient φ(n) | 13568 |
| Square | 1323504400 |
| Cube | 48149090072000 |
| Square root | 190.735419 (= 2√9095) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.638 × |
36380 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand three hundred and eighty |
| Binary (base 2) | 1000111000011100 |
| Octal (base 8) | 107034 |
| Hexadecimal (base 16) | 8E1C |
| Base 3 | 1211220102 |
| As time | 36380 seconds = 10 h 6 min 20 s |
Is 36380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36380 ÷ 2 = 18190) | 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 (36380 ÷ 4 = 9095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36380 ÷ 5 = 7276) | 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 | 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 (36380 ÷ 10 = 3638) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 36380 a prime number?
No. 36380 = × 5 × 17 × 107, so it is divisible by 2.
What are the factors of 36380?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 107, 170, 214, 340, 428, 535, 1070, 1819, 2140, 3638, 7276, 9095, 18190, 36380.
What is 36380 in binary?
1000111000011100 (hexadecimal 8E1C, octal 107034).
What is the square root of 36380?
About 190.7354, exactly 2√9095.
Is 36380 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36380?
36380 is a Harshad number: divisible by its digit sum 20.