The number 24240
24240 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 101. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 24240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24240: a Harshad number: divisible by its digit sum 12.
- 2
24240 is composite. Its prime factorisation is
- 3
The divisors add up to 75888; without 24240 itself that is 51648, so 24240 is abundant (51648 is more than 24240). Euler's totient φ(24240) = 6400 numbers up to 24240 share no factor with it.
- 4
The digits of 24240 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24240 = 2^{4} \times 3 \times 5 \times 101 \]24240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 75888 |
| Euler totient φ(n) | 6400 |
| Square | 587577600 |
| Cube | 14242881024000 |
| Square root | 155.692004 (= 4√1515) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.424 × |
24240 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and forty |
| Binary (base 2) | 101111010110000 |
| Octal (base 8) | 57260 |
| Hexadecimal (base 16) | 5EB0 |
| Base 3 | 1020020210 |
| As time | 24240 seconds = 6 h 44 min 0 s |
Is 24240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24240 ÷ 2 = 12120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24240 ÷ 3 = 8080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24240 ÷ 4 = 6060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24240 ÷ 5 = 4848) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24240 ÷ 6 = 4040) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (24240 ÷ 8 = 3030) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24240 ÷ 10 = 2424) | 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 | Yes (24240 ÷ 12 = 2020) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24240 a prime number?
No. 24240 = × 3 × 5 × 101, so it is divisible by 2.
What are the factors of 24240?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 101, 120, 202, 240, 303, 404, 505, 606, 808, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 4040, 4848, 6060, 8080, 12120, 24240.
What is 24240 in binary?
101111010110000 (hexadecimal 5EB0, octal 57260).
What is the square root of 24240?
About 155.6920, exactly 4√1515.
Is 24240 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24240?
24240 is a Harshad number: divisible by its digit sum 12.