The number 24640
24640 is a composite number with 56 divisors. Its prime factorisation is × 5 × 7 × 11. Divisors (56): 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40 … 24640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24640: a Harshad number: divisible by its digit sum 16.
- 2
24640 is composite. Its prime factorisation is
- 3
The divisors add up to 73152; without 24640 itself that is 48512, so 24640 is abundant (48512 is more than 24640). Euler's totient φ(24640) = 7680 numbers up to 24640 share no factor with it.
- 4
The digits of 24640 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24640 = 2^{6} \times 5 \times 7 \times 11 \]24640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 73152 |
| Euler totient φ(n) | 7680 |
| Square | 607129600 |
| Cube | 14959673344000 |
| Square root | 156.971335 (= 8√385) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.464 × |
24640 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and forty |
| Binary (base 2) | 110000001000000 |
| Octal (base 8) | 60100 |
| Hexadecimal (base 16) | 6040 |
| Base 3 | 1020210121 |
| As time | 24640 seconds = 6 h 50 min 40 s |
Is 24640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24640 ÷ 2 = 12320) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24640 ÷ 4 = 6160) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24640 ÷ 5 = 4928) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24640 ÷ 7 = 3520) | 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 (24640 ÷ 8 = 3080) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24640 ÷ 10 = 2464) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24640 ÷ 11 = 2240) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24640 a prime number?
No. 24640 = × 5 × 7 × 11, so it is divisible by 2.
What are the factors of 24640?
1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 55, 56, 64, 70, 77, 80, 88, 110, 112, 140, 154, 160, 176, 220, 224, 280, 308, 320, 352, 385, 440, 448, 560, 616, 704, 770, 880, 1120, 1232, 1540, 1760, 2240, 2464, 3080, 3520, 4928, 6160, 12320, 24640.
What is 24640 in binary?
110000001000000 (hexadecimal 6040, octal 60100).
What is the square root of 24640?
About 156.9713, exactly 8√385.
Is 24640 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24640?
24640 is a Harshad number: divisible by its digit sum 16.