The number 32140
32140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1607. Divisors (12): 1, 2, 4, 5, 10, 20, 1607, 3214, 6428, 8035, 16070, 32140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32140: a Harshad number: divisible by its digit sum 10.
- 2
32140 is composite. Its prime factorisation is
- 3
The divisors add up to 67536; without 32140 itself that is 35396, so 32140 is abundant (35396 is more than 32140). Euler's totient φ(32140) = 12848 numbers up to 32140 share no factor with it.
- 4
The digits of 32140 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32140 = 2^{2} \times 5 \times 1607 \]32140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67536 |
| Euler totient φ(n) | 12848 |
| Square | 1032979600 |
| Cube | 33199964344000 |
| Square root | 179.276323 (= 2√8035) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.214 × |
32140 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and forty |
| Binary (base 2) | 111110110001100 |
| Octal (base 8) | 76614 |
| Hexadecimal (base 16) | 7D8C |
| Base 3 | 1122002101 |
| As time | 32140 seconds = 8 h 55 min 40 s |
Is 32140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32140 ÷ 2 = 16070) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32140 ÷ 4 = 8035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32140 ÷ 5 = 6428) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32140 ÷ 10 = 3214) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32140 a prime number?
No. 32140 = × 5 × 1607, so it is divisible by 2.
What are the factors of 32140?
1, 2, 4, 5, 10, 20, 1607, 3214, 6428, 8035, 16070, 32140.
What is 32140 in binary?
111110110001100 (hexadecimal 7D8C, octal 76614).
What is the square root of 32140?
About 179.2763, exactly 2√8035.
Is 32140 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 32140?
32140 is a Harshad number: divisible by its digit sum 10.