The number 24080
24080 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 43. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 43, 56, 70 … 24080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24080: a Harshad number: divisible by its digit sum 14.
- 2
24080 is composite. Its prime factorisation is
- 3
The divisors add up to 65472; without 24080 itself that is 41392, so 24080 is abundant (41392 is more than 24080). Euler's totient φ(24080) = 8064 numbers up to 24080 share no factor with it.
- 4
The digits of 24080 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24080 = 2^{4} \times 5 \times 7 \times 43 \]24080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 65472 |
| Euler totient φ(n) | 8064 |
| Square | 579846400 |
| Cube | 13962701312000 |
| Square root | 155.177318 (= 4√1505) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.408 × |
24080 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and eighty |
| Binary (base 2) | 101111000010000 |
| Octal (base 8) | 57020 |
| Hexadecimal (base 16) | 5E10 |
| Base 3 | 1020000212 |
| As time | 24080 seconds = 6 h 41 min 20 s |
Is 24080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24080 ÷ 2 = 12040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24080 ÷ 4 = 6020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24080 ÷ 5 = 4816) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24080 ÷ 7 = 3440) | 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 (24080 ÷ 8 = 3010) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24080 ÷ 10 = 2408) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24080 a prime number?
No. 24080 = × 5 × 7 × 43, so it is divisible by 2.
What are the factors of 24080?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 43, 56, 70, 80, 86, 112, 140, 172, 215, 280, 301, 344, 430, 560, 602, 688, 860, 1204, 1505, 1720, 2408, 3010, 3440, 4816, 6020, 12040, 24080.
What is 24080 in binary?
101111000010000 (hexadecimal 5E10, octal 57020).
What is the square root of 24080?
About 155.1773, exactly 4√1505.
Is 24080 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24080?
24080 is a Harshad number: divisible by its digit sum 14.