The number 32160
32160 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 67. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 32160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32160: a Harshad number: divisible by its digit sum 12.
- 2
32160 is composite. Its prime factorisation is
- 3
The divisors add up to 102816; without 32160 itself that is 70656, so 32160 is abundant (70656 is more than 32160). Euler's totient φ(32160) = 8448 numbers up to 32160 share no factor with it.
- 4
The digits of 32160 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32160 = 2^{5} \times 3 \times 5 \times 67 \]32160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 102816 |
| Euler totient φ(n) | 8448 |
| Square | 1034265600 |
| Cube | 33261981696000 |
| Square root | 179.332094 (= 4√2010) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.216 × |
32160 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and sixty |
| Binary (base 2) | 111110110100000 |
| Octal (base 8) | 76640 |
| Hexadecimal (base 16) | 7DA0 |
| Base 3 | 1122010010 |
| As time | 32160 seconds = 8 h 56 min 0 s |
Is 32160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32160 ÷ 2 = 16080) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32160 ÷ 3 = 10720) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32160 ÷ 4 = 8040) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32160 ÷ 5 = 6432) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32160 ÷ 6 = 5360) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (32160 ÷ 8 = 4020) | 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 (32160 ÷ 10 = 3216) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32160 ÷ 12 = 2680) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32160 a prime number?
No. 32160 = × 3 × 5 × 67, so it is divisible by 2.
What are the factors of 32160?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 67, 80, 96, 120, 134, 160, 201, 240, 268, 335, 402, 480, 536, 670, 804, 1005, 1072, 1340, 1608, 2010, 2144, 2680, 3216, 4020, 5360, 6432, 8040, 10720, 16080, 32160.
What is 32160 in binary?
111110110100000 (hexadecimal 7DA0, octal 76640).
What is the square root of 32160?
About 179.3321, exactly 4√2010.
Is 32160 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32160?
32160 is a Harshad number: divisible by its digit sum 12.