The number 36100
36100 is a perfect square (190²). Its prime factorisation is × × . Divisors (27): 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 361, 380 … 36100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36100: a perfect square (190²); a Harshad number: divisible by its digit sum 10.
- 2
36100 is composite. Its prime factorisation is
- 3
The divisors add up to 82677; without 36100 itself that is 46577, so 36100 is abundant (46577 is more than 36100). Euler's totient φ(36100) = 13680 numbers up to 36100 share no factor with it.
- 4
The digits of 36100 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36100 = 2^{2} \times 5^{2} \times 19^{2} \]36100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 82677 |
| Euler totient φ(n) | 13680 |
| Square | 1303210000 |
| Cube | 47045881000000 |
| Square root | 190 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.61 × |
| Perfect power |
36100 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred |
| Binary (base 2) | 1000110100000100 |
| Octal (base 8) | 106404 |
| Hexadecimal (base 16) | 8D04 |
| Base 3 | 1211112001 |
| As time | 36100 seconds = 10 h 1 min 40 s |
Is 36100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36100 ÷ 2 = 18050) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36100 ÷ 4 = 9025) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36100 ÷ 5 = 7220) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36100 ÷ 10 = 3610) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36100 a prime number?
No. 36100 = × × , so it is divisible by 2.
What are the factors of 36100?
1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 361, 380, 475, 722, 950, 1444, 1805, 1900, 3610, 7220, 9025, 18050, 36100.
What is 36100 in binary?
1000110100000100 (hexadecimal 8D04, octal 106404).
What is the square root of 36100?
190, because 190 × 190 = 36100.
Is 36100 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 36100?
36100 is a perfect square (190²); a Harshad number: divisible by its digit sum 10.