The number 40032
40032 is a composite number with 36 divisors. Its prime factorisation is × × 139. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 40032.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40032: a Harshad number: divisible by its digit sum 9.
- 2
40032 is composite. Its prime factorisation is
- 3
The divisors add up to 114660; without 40032 itself that is 74628, so 40032 is abundant (74628 is more than 40032). Euler's totient φ(40032) = 13248 numbers up to 40032 share no factor with it.
- 4
The digits of 40032 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40032 = 2^{5} \times 3^{2} \times 139 \]40032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 114660 |
| Euler totient φ(n) | 13248 |
| Square | 1602561024 |
| Cube | 64153722912768 |
| Square root | 200.079984 (= 12√278) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.0032 × |
40032 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-two |
| Binary (base 2) | 1001110001100000 |
| Octal (base 8) | 116140 |
| Hexadecimal (base 16) | 9C60 |
| Base 3 | 2000220200 |
| As time | 40032 seconds = 11 h 7 min 12 s |
Is 40032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40032 ÷ 2 = 20016) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40032 ÷ 3 = 13344) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40032 ÷ 4 = 10008) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40032 ÷ 6 = 6672) | 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 (40032 ÷ 8 = 5004) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40032 ÷ 9 = 4448) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (40032 ÷ 12 = 3336) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40032 a prime number?
No. 40032 = × × 139, so it is divisible by 2.
What are the factors of 40032?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 139, 144, 278, 288, 417, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 4448, 5004, 6672, 10008, 13344, 20016, 40032.
What is 40032 in binary?
1001110001100000 (hexadecimal 9C60, octal 116140).
What is the square root of 40032?
About 200.0800, exactly 12√278.
Is 40032 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40032?
40032 is a Harshad number: divisible by its digit sum 9.