The number 24030
24030 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 89. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 89, 90, 135 … 24030.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24030: a Harshad number: divisible by its digit sum 9.
- 2
24030 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 24030 itself that is 40770, so 24030 is abundant (40770 is more than 24030). Euler's totient φ(24030) = 6336 numbers up to 24030 share no factor with it.
- 4
The digits of 24030 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24030 = 2 \times 3^{3} \times 5 \times 89 \]24030 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 6336 |
| Square | 577440900 |
| Cube | 13875904827000 |
| Square root | 155.016128 (= 3√2670) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.403 × |
24030 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and thirty |
| Binary (base 2) | 101110111011110 |
| Octal (base 8) | 56736 |
| Hexadecimal (base 16) | 5DDE |
| Base 3 | 1012222000 |
| As time | 24030 seconds = 6 h 40 min 30 s |
Is 24030 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24030 ÷ 2 = 12015) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24030 ÷ 3 = 8010) | 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 (24030 ÷ 5 = 4806) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24030 ÷ 6 = 4005) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24030 ÷ 9 = 2670) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24030 ÷ 10 = 2403) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 24030 a prime number?
No. 24030 = 2 × × 5 × 89, so it is divisible by 2.
What are the factors of 24030?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 89, 90, 135, 178, 267, 270, 445, 534, 801, 890, 1335, 1602, 2403, 2670, 4005, 4806, 8010, 12015, 24030.
What is 24030 in binary?
101110111011110 (hexadecimal 5DDE, octal 56736).
What is the square root of 24030?
About 155.0161, exactly 3√2670.
Is 24030 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 24030?
24030 is a Harshad number: divisible by its digit sum 9.