The number 32240
32240 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 31. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 40, 52, 62, 65, 80 … 32240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32240 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 32240 itself that is 51088, so 32240 is abundant (51088 is more than 32240). Euler's totient φ(32240) = 11520 numbers up to 32240 share no factor with it.
- 4
The digits of 32240 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32240 = 2^{4} \times 5 \times 13 \times 31 \]32240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 11520 |
| Square | 1039417600 |
| Cube | 33510823424000 |
| Square root | 179.555005 (= 4√2015) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.224 × |
32240 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and forty |
| Binary (base 2) | 111110111110000 |
| Octal (base 8) | 76760 |
| Hexadecimal (base 16) | 7DF0 |
| Base 3 | 1122020002 |
| As time | 32240 seconds = 8 h 57 min 20 s |
Is 32240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32240 ÷ 2 = 16120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32240 ÷ 4 = 8060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32240 ÷ 5 = 6448) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (32240 ÷ 8 = 4030) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32240 ÷ 10 = 3224) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32240 a prime number?
No. 32240 = × 5 × 13 × 31, so it is divisible by 2.
What are the factors of 32240?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 40, 52, 62, 65, 80, 104, 124, 130, 155, 208, 248, 260, 310, 403, 496, 520, 620, 806, 1040, 1240, 1612, 2015, 2480, 3224, 4030, 6448, 8060, 16120, 32240.
What is 32240 in binary?
111110111110000 (hexadecimal 7DF0, octal 76760).
What is the square root of 32240?
About 179.5550, exactly 4√2015.
Is 32240 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 32240?
It is a composite number with 40 divisors.