The number 32040
32040 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 89. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 32040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32040: a Harshad number: divisible by its digit sum 9.
- 2
32040 is composite. Its prime factorisation is
- 3
The divisors add up to 105300; without 32040 itself that is 73260, so 32040 is abundant (73260 is more than 32040). Euler's totient φ(32040) = 8448 numbers up to 32040 share no factor with it.
- 4
The digits of 32040 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32040 = 2^{3} \times 3^{2} \times 5 \times 89 \]32040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 105300 |
| Euler totient φ(n) | 8448 |
| Square | 1026561600 |
| Cube | 32891033664000 |
| Square root | 178.997207 (= 6√890) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.204 × |
32040 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and forty |
| Binary (base 2) | 111110100101000 |
| Octal (base 8) | 76450 |
| Hexadecimal (base 16) | 7D28 |
| Base 3 | 1121221200 |
| As time | 32040 seconds = 8 h 54 min 0 s |
Is 32040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32040 ÷ 2 = 16020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32040 ÷ 3 = 10680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32040 ÷ 4 = 8010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32040 ÷ 5 = 6408) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32040 ÷ 6 = 5340) | 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 | Yes (32040 ÷ 8 = 4005) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32040 ÷ 9 = 3560) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32040 ÷ 10 = 3204) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32040 ÷ 12 = 2670) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32040 a prime number?
No. 32040 = × × 5 × 89, so it is divisible by 2.
What are the factors of 32040?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1068, 1335, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 5340, 6408, 8010, 10680, 16020, 32040.
What is 32040 in binary?
111110100101000 (hexadecimal 7D28, octal 76450).
What is the square root of 32040?
About 178.9972, exactly 6√890.
Is 32040 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 32040?
32040 is a Harshad number: divisible by its digit sum 9.