The number 12240
12240 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 17. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24 … 12240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12240: a Harshad number: divisible by its digit sum 9.
- 2
12240 is composite. Its prime factorisation is
- 3
The divisors add up to 43524; without 12240 itself that is 31284, so 12240 is abundant (31284 is more than 12240). Euler's totient φ(12240) = 3072 numbers up to 12240 share no factor with it.
- 4
The digits of 12240 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12240 = 2^{4} \times 3^{2} \times 5 \times 17 \]12240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 43524 |
| Euler totient φ(n) | 3072 |
| Square | 149817600 |
| Cube | 1833767424000 |
| Square root | 110.634533 (= 12√85) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.224 × |
12240 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and forty |
| Binary (base 2) | 10111111010000 |
| Octal (base 8) | 27720 |
| Hexadecimal (base 16) | 2FD0 |
| Base 3 | 121210100 |
| As time | 12240 seconds = 3 h 24 min 0 s |
Is 12240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12240 ÷ 2 = 6120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12240 ÷ 3 = 4080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12240 ÷ 4 = 3060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12240 ÷ 5 = 2448) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12240 ÷ 6 = 2040) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (12240 ÷ 8 = 1530) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12240 ÷ 9 = 1360) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12240 ÷ 10 = 1224) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12240 ÷ 12 = 1020) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12240 a prime number?
No. 12240 = × × 5 × 17, so it is divisible by 2.
What are the factors of 12240?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 102, 120, 136, 144, 153, 170, 180, 204, 240, 255, 272, 306, 340, 360, 408, 510, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1530, 2040, 2448, 3060, 4080, 6120, 12240.
What is 12240 in binary?
10111111010000 (hexadecimal 2FD0, octal 27720).
What is the square root of 12240?
About 110.6345, exactly 12√85.
Is 12240 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 12240?
12240 is a Harshad number: divisible by its digit sum 9.