The number 32720
32720 is a composite number with 20 divisors. Its prime factorisation is × 5 × 409. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 409, 818, 1636, 2045, 3272, 4090 … 32720.
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How to work it out
- 1
32720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32720 is composite. Its prime factorisation is
- 3
The divisors add up to 76260; without 32720 itself that is 43540, so 32720 is abundant (43540 is more than 32720). Euler's totient φ(32720) = 13056 numbers up to 32720 share no factor with it.
- 4
The digits of 32720 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32720 = 2^{4} \times 5 \times 409 \]32720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 76260 |
| Euler totient φ(n) | 13056 |
| Square | 1070598400 |
| Cube | 35029979648000 |
| Square root | 180.886705 (= 4√2045) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.272 × |
32720 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and twenty |
| Binary (base 2) | 111111111010000 |
| Octal (base 8) | 77720 |
| Hexadecimal (base 16) | 7FD0 |
| Base 3 | 1122212212 |
| As time | 32720 seconds = 9 h 5 min 20 s |
Is 32720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32720 ÷ 2 = 16360) | 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 (32720 ÷ 4 = 8180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32720 ÷ 5 = 6544) | 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 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 (32720 ÷ 8 = 4090) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32720 ÷ 10 = 3272) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 32720 a prime number?
No. 32720 = × 5 × 409, so it is divisible by 2.
What are the factors of 32720?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 409, 818, 1636, 2045, 3272, 4090, 6544, 8180, 16360, 32720.
What is 32720 in binary?
111111111010000 (hexadecimal 7FD0, octal 77720).
What is the square root of 32720?
About 180.8867, exactly 4√2045.
Is 32720 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32720?
It is a composite number with 20 divisors.