The number 24540
24540 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 409. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 409, 818, 1227, 1636 … 24540.
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How to work it out
- 1
What is special about 24540: a Harshad number: divisible by its digit sum 15.
- 2
24540 is composite. Its prime factorisation is
- 3
The divisors add up to 68880; without 24540 itself that is 44340, so 24540 is abundant (44340 is more than 24540). Euler's totient φ(24540) = 6528 numbers up to 24540 share no factor with it.
- 4
The digits of 24540 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24540 = 2^{2} \times 3 \times 5 \times 409 \]24540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68880 |
| Euler totient φ(n) | 6528 |
| Square | 602211600 |
| Cube | 14778272664000 |
| Square root | 156.652482 (= 2√6135) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.454 × |
24540 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand five hundred and forty |
| Binary (base 2) | 101111111011100 |
| Octal (base 8) | 57734 |
| Hexadecimal (base 16) | 5FDC |
| Base 3 | 1020122220 |
| As time | 24540 seconds = 6 h 49 min 0 s |
Is 24540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24540 ÷ 2 = 12270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24540 ÷ 3 = 8180) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24540 ÷ 4 = 6135) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24540 ÷ 5 = 4908) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24540 ÷ 6 = 4090) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24540 ÷ 10 = 2454) | 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 | Yes (24540 ÷ 12 = 2045) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24540 a prime number?
No. 24540 = × 3 × 5 × 409, so it is divisible by 2.
What are the factors of 24540?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 409, 818, 1227, 1636, 2045, 2454, 4090, 4908, 6135, 8180, 12270, 24540.
What is 24540 in binary?
101111111011100 (hexadecimal 5FDC, octal 57734).
What is the square root of 24540?
About 156.6525, exactly 2√6135.
Is 24540 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24540?
24540 is a Harshad number: divisible by its digit sum 15.