The number 32520
32520 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 271. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 32520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32520: a Harshad number: divisible by its digit sum 12.
- 2
32520 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 32520 itself that is 65400, so 32520 is abundant (65400 is more than 32520). Euler's totient φ(32520) = 8640 numbers up to 32520 share no factor with it.
- 4
The digits of 32520 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32520 = 2^{3} \times 3 \times 5 \times 271 \]32520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 8640 |
| Square | 1057550400 |
| Cube | 34391539008000 |
| Square root | 180.333025 (= 2√8130) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.252 × |
32520 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand five hundred and twenty |
| Binary (base 2) | 111111100001000 |
| Octal (base 8) | 77410 |
| Hexadecimal (base 16) | 7F08 |
| Base 3 | 1122121110 |
| As time | 32520 seconds = 9 h 2 min 0 s |
Is 32520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32520 ÷ 2 = 16260) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32520 ÷ 3 = 10840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32520 ÷ 4 = 8130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32520 ÷ 5 = 6504) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32520 ÷ 6 = 5420) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (32520 ÷ 8 = 4065) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32520 ÷ 10 = 3252) | 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 | Yes (32520 ÷ 12 = 2710) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32520 a prime number?
No. 32520 = × 3 × 5 × 271, so it is divisible by 2.
What are the factors of 32520?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 271, 542, 813, 1084, 1355, 1626, 2168, 2710, 3252, 4065, 5420, 6504, 8130, 10840, 16260, 32520.
What is 32520 in binary?
111111100001000 (hexadecimal 7F08, octal 77410).
What is the square root of 32520?
About 180.3330, exactly 2√8130.
Is 32520 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32520?
32520 is a Harshad number: divisible by its digit sum 12.