The number 24060
24060 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 401. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 401, 802, 1203, 1604 … 24060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24060: a Harshad number: divisible by its digit sum 12.
- 2
24060 is composite. Its prime factorisation is
- 3
The divisors add up to 67536; without 24060 itself that is 43476, so 24060 is abundant (43476 is more than 24060). Euler's totient φ(24060) = 6400 numbers up to 24060 share no factor with it.
- 4
The digits of 24060 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24060 = 2^{2} \times 3 \times 5 \times 401 \]24060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67536 |
| Euler totient φ(n) | 6400 |
| Square | 578883600 |
| Cube | 13927939416000 |
| Square root | 155.112862 (= 2√6015) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.406 × |
24060 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and sixty |
| Binary (base 2) | 101110111111100 |
| Octal (base 8) | 56774 |
| Hexadecimal (base 16) | 5DFC |
| Base 3 | 1020000010 |
| As time | 24060 seconds = 6 h 41 min 0 s |
Is 24060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24060 ÷ 2 = 12030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24060 ÷ 3 = 8020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24060 ÷ 4 = 6015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24060 ÷ 5 = 4812) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24060 ÷ 6 = 4010) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24060 ÷ 10 = 2406) | 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 | Yes (24060 ÷ 12 = 2005) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24060 a prime number?
No. 24060 = × 3 × 5 × 401, so it is divisible by 2.
What are the factors of 24060?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 401, 802, 1203, 1604, 2005, 2406, 4010, 4812, 6015, 8020, 12030, 24060.
What is 24060 in binary?
101110111111100 (hexadecimal 5DFC, octal 56774).
What is the square root of 24060?
About 155.1129, exactly 2√6015.
Is 24060 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24060?
24060 is a Harshad number: divisible by its digit sum 12.