The number 24090
24090 is a triangular number: 1 + 2 + … + 219 = 24090. Its prime factorisation is 2 × 3 × 5 × 11 × 73. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 73, 110, 146 … 24090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24090: a triangular number: 1 + 2 + … + 219 = 24090; a Harshad number: divisible by its digit sum 15.
- 2
24090 is composite. Its prime factorisation is
- 3
The divisors add up to 63936; without 24090 itself that is 39846, so 24090 is abundant (39846 is more than 24090). Euler's totient φ(24090) = 5760 numbers up to 24090 share no factor with it.
- 4
The digits of 24090 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24090 = 2 \times 3 \times 5 \times 11 \times 73 \]
24090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 63936 |
| Euler totient φ(n) | 5760 |
| Square | 580328100 |
| Cube | 13980103929000 |
| Square root | 155.209536 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.409 × |
24090 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and ninety |
| Binary (base 2) | 101111000011010 |
| Octal (base 8) | 57032 |
| Hexadecimal (base 16) | 5E1A |
| Base 3 | 1020001020 |
| As time | 24090 seconds = 6 h 41 min 30 s |
Is 24090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24090 ÷ 2 = 12045) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24090 ÷ 3 = 8030) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24090 ÷ 5 = 4818) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24090 ÷ 6 = 4015) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24090 ÷ 10 = 2409) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24090 ÷ 11 = 2190) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24090 a prime number?
No. 24090 = 2 × 3 × 5 × 11 × 73, so it is divisible by 2.
What are the factors of 24090?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 73, 110, 146, 165, 219, 330, 365, 438, 730, 803, 1095, 1606, 2190, 2409, 4015, 4818, 8030, 12045, 24090.
What is 24090 in binary?
101111000011010 (hexadecimal 5E1A, octal 57032).
What is the square root of 24090?
About 155.2095.
Is 24090 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24090?
24090 is a triangular number: 1 + 2 + … + 219 = 24090; a Harshad number: divisible by its digit sum 15.