The number 32120
32120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 73. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 73, 88, 110, 146 … 32120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32120: a Harshad number: divisible by its digit sum 8.
- 2
32120 is composite. Its prime factorisation is
- 3
The divisors add up to 79920; without 32120 itself that is 47800, so 32120 is abundant (47800 is more than 32120). Euler's totient φ(32120) = 11520 numbers up to 32120 share no factor with it.
- 4
The digits of 32120 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32120 = 2^{3} \times 5 \times 11 \times 73 \]32120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 79920 |
| Euler totient φ(n) | 11520 |
| Square | 1031694400 |
| Cube | 33138024128000 |
| Square root | 179.220535 (= 2√8030) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.212 × |
32120 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and twenty |
| Binary (base 2) | 111110101111000 |
| Octal (base 8) | 76570 |
| Hexadecimal (base 16) | 7D78 |
| Base 3 | 1122001122 |
| As time | 32120 seconds = 8 h 55 min 20 s |
Is 32120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32120 ÷ 2 = 16060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32120 ÷ 4 = 8030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32120 ÷ 5 = 6424) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (32120 ÷ 8 = 4015) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32120 ÷ 10 = 3212) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (32120 ÷ 11 = 2920) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32120 a prime number?
No. 32120 = × 5 × 11 × 73, so it is divisible by 2.
What are the factors of 32120?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 73, 88, 110, 146, 220, 292, 365, 440, 584, 730, 803, 1460, 1606, 2920, 3212, 4015, 6424, 8030, 16060, 32120.
What is 32120 in binary?
111110101111000 (hexadecimal 7D78, octal 76570).
What is the square root of 32120?
About 179.2205, exactly 2√8030.
Is 32120 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 32120?
32120 is a Harshad number: divisible by its digit sum 8.