The number 32670
32670 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × . Divisors (48): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54 … 32670.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32670: a Harshad number: divisible by its digit sum 18.
- 2
32670 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 32670 itself that is 63090, so 32670 is abundant (63090 is more than 32670). Euler's totient φ(32670) = 7920 numbers up to 32670 share no factor with it.
- 4
The digits of 32670 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32670 = 2 \times 3^{3} \times 5 \times 11^{2} \]32670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 7920 |
| Square | 1067328900 |
| Cube | 34869635163000 |
| Square root | 180.748444 (= 33√30) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.267 × |
32670 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and seventy |
| Binary (base 2) | 111111110011110 |
| Octal (base 8) | 77636 |
| Hexadecimal (base 16) | 7F9E |
| Base 3 | 1122211000 |
| As time | 32670 seconds = 9 h 4 min 30 s |
Is 32670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32670 ÷ 2 = 16335) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32670 ÷ 3 = 10890) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32670 ÷ 5 = 6534) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32670 ÷ 6 = 5445) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32670 ÷ 9 = 3630) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32670 ÷ 10 = 3267) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (32670 ÷ 11 = 2970) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32670 a prime number?
No. 32670 = 2 × × 5 × , so it is divisible by 2.
What are the factors of 32670?
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 121, 135, 165, 198, 242, 270, 297, 330, 363, 495, 594, 605, 726, 990, 1089, 1210, 1485, 1815, 2178, 2970, 3267, 3630, 5445, 6534, 10890, 16335, 32670.
What is 32670 in binary?
111111110011110 (hexadecimal 7F9E, octal 77636).
What is the square root of 32670?
About 180.7484, exactly 33√30.
Is 32670 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32670?
32670 is a Harshad number: divisible by its digit sum 18.