The number 24390
24390 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 271. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 271, 542, 813, 1355 … 24390.
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How to work it out
- 1
What is special about 24390: a Harshad number: divisible by its digit sum 18.
- 2
24390 is composite. Its prime factorisation is
- 3
The divisors add up to 63648; without 24390 itself that is 39258, so 24390 is abundant (39258 is more than 24390). Euler's totient φ(24390) = 6480 numbers up to 24390 share no factor with it.
- 4
The digits of 24390 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24390 = 2 \times 3^{2} \times 5 \times 271 \]24390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 63648 |
| Euler totient φ(n) | 6480 |
| Square | 594872100 |
| Cube | 14508930519000 |
| Square root | 156.172981 (= 3√2710) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.439 × |
24390 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and ninety |
| Binary (base 2) | 101111101000110 |
| Octal (base 8) | 57506 |
| Hexadecimal (base 16) | 5F46 |
| Base 3 | 1020110100 |
| As time | 24390 seconds = 6 h 46 min 30 s |
Is 24390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24390 ÷ 2 = 12195) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24390 ÷ 3 = 8130) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24390 ÷ 5 = 4878) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24390 ÷ 6 = 4065) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24390 ÷ 9 = 2710) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24390 ÷ 10 = 2439) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24390 a prime number?
No. 24390 = 2 × × 5 × 271, so it is divisible by 2.
What are the factors of 24390?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 271, 542, 813, 1355, 1626, 2439, 2710, 4065, 4878, 8130, 12195, 24390.
What is 24390 in binary?
101111101000110 (hexadecimal 5F46, octal 57506).
What is the square root of 24390?
About 156.1730, exactly 3√2710.
Is 24390 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24390?
24390 is a Harshad number: divisible by its digit sum 18.