The number 40536
40536 is a composite number with 24 divisors. Its prime factorisation is × × 563. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 563, 1126, 1689, 2252 … 40536.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40536: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
40536 is composite. Its prime factorisation is
- 3
The divisors add up to 109980; without 40536 itself that is 69444, so 40536 is abundant (69444 is more than 40536). Euler's totient φ(40536) = 13488 numbers up to 40536 share no factor with it.
- 4
The digits of 40536 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40536 = 2^{3} \times 3^{2} \times 563 \]40536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109980 |
| Euler totient φ(n) | 13488 |
| Square | 1643167296 |
| Cube | 66607429510656 |
| Square root | 201.335541 (= 6√1126) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0536 × |
40536 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and thirty-six |
| Binary (base 2) | 1001111001011000 |
| Octal (base 8) | 117130 |
| Hexadecimal (base 16) | 9E58 |
| Base 3 | 2001121100 |
| As time | 40536 seconds = 11 h 15 min 36 s |
Is 40536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40536 ÷ 2 = 20268) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40536 ÷ 3 = 13512) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40536 ÷ 4 = 10134) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40536 ÷ 6 = 6756) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (40536 ÷ 8 = 5067) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40536 ÷ 9 = 4504) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (40536 ÷ 12 = 3378) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40536 a prime number?
No. 40536 = × × 563, so it is divisible by 2.
What are the factors of 40536?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 563, 1126, 1689, 2252, 3378, 4504, 5067, 6756, 10134, 13512, 20268, 40536.
What is 40536 in binary?
1001111001011000 (hexadecimal 9E58, octal 117130).
What is the square root of 40536?
About 201.3355, exactly 6√1126.
Is 40536 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40536?
40536 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.