The number 32490
32490 is a composite number with 36 divisors. Its prime factorisation is 2 × × 5 × . Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95 … 32490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32490: a Harshad number: divisible by its digit sum 18.
- 2
32490 is composite. Its prime factorisation is
- 3
The divisors add up to 89154; without 32490 itself that is 56664, so 32490 is abundant (56664 is more than 32490). Euler's totient φ(32490) = 8208 numbers up to 32490 share no factor with it.
- 4
The digits of 32490 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32490 = 2 \times 3^{2} \times 5 \times 19^{2} \]32490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 89154 |
| Euler totient φ(n) | 8208 |
| Square | 1055600100 |
| Cube | 34296447249000 |
| Square root | 180.249827 (= 57√10) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.249 × |
32490 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and ninety |
| Binary (base 2) | 111111011101010 |
| Octal (base 8) | 77352 |
| Hexadecimal (base 16) | 7EEA |
| Base 3 | 1122120100 |
| As time | 32490 seconds = 9 h 1 min 30 s |
Is 32490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32490 ÷ 2 = 16245) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32490 ÷ 3 = 10830) | 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 (32490 ÷ 5 = 6498) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32490 ÷ 6 = 5415) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32490 ÷ 9 = 3610) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32490 ÷ 10 = 3249) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 32490 a prime number?
No. 32490 = 2 × × 5 × , so it is divisible by 2.
What are the factors of 32490?
1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 361, 570, 722, 855, 1083, 1710, 1805, 2166, 3249, 3610, 5415, 6498, 10830, 16245, 32490.
What is 32490 in binary?
111111011101010 (hexadecimal 7EEA, octal 77352).
What is the square root of 32490?
About 180.2498, exactly 57√10.
Is 32490 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32490?
32490 is a Harshad number: divisible by its digit sum 18.