The number 36040
36040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 53. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 53, 68, 85, 106, 136, 170 … 36040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36040 is composite. Its prime factorisation is
- 3
The divisors add up to 87480; without 36040 itself that is 51440, so 36040 is abundant (51440 is more than 36040). Euler's totient φ(36040) = 13312 numbers up to 36040 share no factor with it.
- 4
The digits of 36040 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36040 = 2^{3} \times 5 \times 17 \times 53 \]36040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 87480 |
| Euler totient φ(n) | 13312 |
| Square | 1298881600 |
| Cube | 46811692864000 |
| Square root | 189.842040 (= 2√9010) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.604 × |
36040 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and forty |
| Binary (base 2) | 1000110011001000 |
| Octal (base 8) | 106310 |
| Hexadecimal (base 16) | 8CC8 |
| Base 3 | 1211102211 |
| As time | 36040 seconds = 10 h 0 min 40 s |
Is 36040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36040 ÷ 2 = 18020) | 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 (36040 ÷ 4 = 9010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36040 ÷ 5 = 7208) | 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 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 | Yes (36040 ÷ 8 = 4505) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36040 ÷ 10 = 3604) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36040 a prime number?
No. 36040 = × 5 × 17 × 53, so it is divisible by 2.
What are the factors of 36040?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 53, 68, 85, 106, 136, 170, 212, 265, 340, 424, 530, 680, 901, 1060, 1802, 2120, 3604, 4505, 7208, 9010, 18020, 36040.
What is 36040 in binary?
1000110011001000 (hexadecimal 8CC8, octal 106310).
What is the square root of 36040?
About 189.8420, exactly 2√9010.
Is 36040 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 36040?
It is a composite number with 32 divisors.