The number 32940
32940 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 61. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 32940.
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How to work it out
- 1
What is special about 32940: a Harshad number: divisible by its digit sum 18.
- 2
32940 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 32940 itself that is 71220, so 32940 is abundant (71220 is more than 32940). Euler's totient φ(32940) = 8640 numbers up to 32940 share no factor with it.
- 4
The digits of 32940 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32940 = 2^{2} \times 3^{3} \times 5 \times 61 \]32940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 8640 |
| Square | 1085043600 |
| Cube | 35741336184000 |
| Square root | 181.493802 (= 6√915) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.294 × |
32940 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and forty |
| Binary (base 2) | 1000000010101100 |
| Octal (base 8) | 100254 |
| Hexadecimal (base 16) | 80AC |
| Base 3 | 1200012000 |
| As time | 32940 seconds = 9 h 9 min 0 s |
Is 32940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32940 ÷ 2 = 16470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32940 ÷ 3 = 10980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32940 ÷ 4 = 8235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32940 ÷ 5 = 6588) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32940 ÷ 6 = 5490) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (32940 ÷ 9 = 3660) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32940 ÷ 10 = 3294) | 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 | Yes (32940 ÷ 12 = 2745) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32940 a prime number?
No. 32940 = × × 5 × 61, so it is divisible by 2.
What are the factors of 32940?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 61, 90, 108, 122, 135, 180, 183, 244, 270, 305, 366, 540, 549, 610, 732, 915, 1098, 1220, 1647, 1830, 2196, 2745, 3294, 3660, 5490, 6588, 8235, 10980, 16470, 32940.
What is 32940 in binary?
1000000010101100 (hexadecimal 80AC, octal 100254).
What is the square root of 32940?
About 181.4938, exactly 6√915.
Is 32940 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32940?
32940 is a Harshad number: divisible by its digit sum 18.