The number 39240
39240 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 109. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 39240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39240: a Harshad number: divisible by its digit sum 18.
- 2
39240 is composite. Its prime factorisation is
- 3
The divisors add up to 128700; without 39240 itself that is 89460, so 39240 is abundant (89460 is more than 39240). Euler's totient φ(39240) = 10368 numbers up to 39240 share no factor with it.
- 4
The digits of 39240 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39240 = 2^{3} \times 3^{2} \times 5 \times 109 \]39240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 128700 |
| Euler totient φ(n) | 10368 |
| Square | 1539777600 |
| Cube | 60420873024000 |
| Square root | 198.090888 (= 6√1090) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.924 × |
39240 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand two hundred and forty |
| Binary (base 2) | 1001100101001000 |
| Octal (base 8) | 114510 |
| Hexadecimal (base 16) | 9948 |
| Base 3 | 1222211100 |
| As time | 39240 seconds = 10 h 54 min 0 s |
Is 39240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39240 ÷ 2 = 19620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39240 ÷ 3 = 13080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39240 ÷ 4 = 9810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39240 ÷ 5 = 7848) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (39240 ÷ 6 = 6540) | 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 (39240 ÷ 8 = 4905) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39240 ÷ 9 = 4360) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39240 ÷ 10 = 3924) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39240 ÷ 12 = 3270) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39240 a prime number?
No. 39240 = × × 5 × 109, so it is divisible by 2.
What are the factors of 39240?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 109, 120, 180, 218, 327, 360, 436, 545, 654, 872, 981, 1090, 1308, 1635, 1962, 2180, 2616, 3270, 3924, 4360, 4905, 6540, 7848, 9810, 13080, 19620, 39240.
What is 39240 in binary?
1001100101001000 (hexadecimal 9948, octal 114510).
What is the square root of 39240?
About 198.0909, exactly 6√1090.
Is 39240 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 39240?
39240 is a Harshad number: divisible by its digit sum 18.