The number 36180
36180 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 67. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 36180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36180: a Harshad number: divisible by its digit sum 18.
- 2
36180 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 36180 itself that is 78060, so 36180 is abundant (78060 is more than 36180). Euler's totient φ(36180) = 9504 numbers up to 36180 share no factor with it.
- 4
The digits of 36180 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 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36180 = 2^{2} \times 3^{3} \times 5 \times 67 \]36180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 9504 |
| Square | 1308992400 |
| Cube | 47359345032000 |
| Square root | 190.210410 (= 6√1005) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.618 × |
36180 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred and eighty |
| Binary (base 2) | 1000110101010100 |
| Octal (base 8) | 106524 |
| Hexadecimal (base 16) | 8D54 |
| Base 3 | 1211122000 |
| As time | 36180 seconds = 10 h 3 min 0 s |
Is 36180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36180 ÷ 2 = 18090) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36180 ÷ 3 = 12060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36180 ÷ 4 = 9045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36180 ÷ 5 = 7236) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36180 ÷ 6 = 6030) | 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 | Yes (36180 ÷ 9 = 4020) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36180 ÷ 10 = 3618) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36180 ÷ 12 = 3015) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36180 a prime number?
No. 36180 = × × 5 × 67, so it is divisible by 2.
What are the factors of 36180?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 67, 90, 108, 134, 135, 180, 201, 268, 270, 335, 402, 540, 603, 670, 804, 1005, 1206, 1340, 1809, 2010, 2412, 3015, 3618, 4020, 6030, 7236, 9045, 12060, 18090, 36180.
What is 36180 in binary?
1000110101010100 (hexadecimal 8D54, octal 106524).
What is the square root of 36180?
About 190.2104, exactly 6√1005.
Is 36180 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36180?
36180 is a Harshad number: divisible by its digit sum 18.