The number 24040
24040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 601. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 601, 1202, 2404, 3005, 4808, 6010, 12020, 24040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24040: a Harshad number: divisible by its digit sum 10.
- 2
24040 is composite. Its prime factorisation is
- 3
The divisors add up to 54180; without 24040 itself that is 30140, so 24040 is abundant (30140 is more than 24040). Euler's totient φ(24040) = 9600 numbers up to 24040 share no factor with it.
- 4
The digits of 24040 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24040 = 2^{3} \times 5 \times 601 \]24040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54180 |
| Euler totient φ(n) | 9600 |
| Square | 577921600 |
| Cube | 13893235264000 |
| Square root | 155.048380 (= 2√6010) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.404 × |
24040 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and forty |
| Binary (base 2) | 101110111101000 |
| Octal (base 8) | 56750 |
| Hexadecimal (base 16) | 5DE8 |
| Base 3 | 1012222101 |
| As time | 24040 seconds = 6 h 40 min 40 s |
Is 24040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24040 ÷ 2 = 12020) | 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 (24040 ÷ 4 = 6010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24040 ÷ 5 = 4808) | 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 | No (remainder 2) | 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 (24040 ÷ 8 = 3005) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24040 ÷ 10 = 2404) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 24040 a prime number?
No. 24040 = × 5 × 601, so it is divisible by 2.
What are the factors of 24040?
1, 2, 4, 5, 8, 10, 20, 40, 601, 1202, 2404, 3005, 4808, 6010, 12020, 24040.
What is 24040 in binary?
101110111101000 (hexadecimal 5DE8, octal 56750).
What is the square root of 24040?
About 155.0484, exactly 2√6010.
Is 24040 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 24040?
24040 is a Harshad number: divisible by its digit sum 10.