The number 32700
32700 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 109. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100 … 32700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32700: a Harshad number: divisible by its digit sum 12.
- 2
32700 is composite. Its prime factorisation is
- 3
The divisors add up to 95480; without 32700 itself that is 62780, so 32700 is abundant (62780 is more than 32700). Euler's totient φ(32700) = 8640 numbers up to 32700 share no factor with it.
- 4
The digits of 32700 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32700 = 2^{2} \times 3 \times 5^{2} \times 109 \]32700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 95480 |
| Euler totient φ(n) | 8640 |
| Square | 1069290000 |
| Cube | 34965783000000 |
| Square root | 180.831413 (= 10√327) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.27 × |
32700 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred |
| Binary (base 2) | 111111110111100 |
| Octal (base 8) | 77674 |
| Hexadecimal (base 16) | 7FBC |
| Base 3 | 1122212010 |
| As time | 32700 seconds = 9 h 5 min 0 s |
Is 32700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32700 ÷ 2 = 16350) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32700 ÷ 3 = 10900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32700 ÷ 4 = 8175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32700 ÷ 5 = 6540) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32700 ÷ 6 = 5450) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 4) | 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 (32700 ÷ 10 = 3270) | 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 (32700 ÷ 12 = 2725) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32700 a prime number?
No. 32700 = × 3 × × 109, so it is divisible by 2.
What are the factors of 32700?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 109, 150, 218, 300, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 2725, 3270, 5450, 6540, 8175, 10900, 16350, 32700.
What is 32700 in binary?
111111110111100 (hexadecimal 7FBC, octal 77674).
What is the square root of 32700?
About 180.8314, exactly 10√327.
Is 32700 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32700?
32700 is a Harshad number: divisible by its digit sum 12.