The number 24140
24140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 71. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 71, 85, 142, 170, 284, 340, 355 … 24140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24140 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 24140 itself that is 30292, so 24140 is abundant (30292 is more than 24140). Euler's totient φ(24140) = 8960 numbers up to 24140 share no factor with it.
- 4
The digits of 24140 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24140 = 2^{2} \times 5 \times 17 \times 71 \]24140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 8960 |
| Square | 582739600 |
| Cube | 14067333944000 |
| Square root | 155.370525 (= 2√6035) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.414 × |
24140 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and forty |
| Binary (base 2) | 101111001001100 |
| Octal (base 8) | 57114 |
| Hexadecimal (base 16) | 5E4C |
| Base 3 | 1020010002 |
| As time | 24140 seconds = 6 h 42 min 20 s |
Is 24140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24140 ÷ 2 = 12070) | 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 (24140 ÷ 4 = 6035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24140 ÷ 5 = 4828) | 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 | No (remainder 4) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24140 ÷ 10 = 2414) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24140 a prime number?
No. 24140 = × 5 × 17 × 71, so it is divisible by 2.
What are the factors of 24140?
1, 2, 4, 5, 10, 17, 20, 34, 68, 71, 85, 142, 170, 284, 340, 355, 710, 1207, 1420, 2414, 4828, 6035, 12070, 24140.
What is 24140 in binary?
101111001001100 (hexadecimal 5E4C, octal 57114).
What is the square root of 24140?
About 155.3705, exactly 2√6035.
Is 24140 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 24140?
It is a composite number with 24 divisors.