The number 23490
23490 is a composite number with 40 divisors. Its prime factorisation is 2 × × 5 × 29. Divisors (40): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81 … 23490.
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How to work it out
- 1
What is special about 23490: a Harshad number: divisible by its digit sum 18.
- 2
23490 is composite. Its prime factorisation is
- 3
The divisors add up to 65340; without 23490 itself that is 41850, so 23490 is abundant (41850 is more than 23490). Euler's totient φ(23490) = 6048 numbers up to 23490 share no factor with it.
- 4
The digits of 23490 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23490 = 2 \times 3^{4} \times 5 \times 29 \]23490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 65340 |
| Euler totient φ(n) | 6048 |
| Square | 551780100 |
| Cube | 12961314549000 |
| Square root | 153.264477 (= 9√290) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.349 × |
23490 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and ninety |
| Binary (base 2) | 101101111000010 |
| Octal (base 8) | 55702 |
| Hexadecimal (base 16) | 5BC2 |
| Base 3 | 1012020000 |
| As time | 23490 seconds = 6 h 31 min 30 s |
Is 23490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23490 ÷ 2 = 11745) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23490 ÷ 3 = 7830) | 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 (23490 ÷ 5 = 4698) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23490 ÷ 6 = 3915) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (23490 ÷ 9 = 2610) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23490 ÷ 10 = 2349) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23490 a prime number?
No. 23490 = 2 × × 5 × 29, so it is divisible by 2.
What are the factors of 23490?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81, 87, 90, 135, 145, 162, 174, 261, 270, 290, 405, 435, 522, 783, 810, 870, 1305, 1566, 2349, 2610, 3915, 4698, 7830, 11745, 23490.
What is 23490 in binary?
101101111000010 (hexadecimal 5BC2, octal 55702).
What is the square root of 23490?
About 153.2645, exactly 9√290.
Is 23490 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23490?
23490 is a Harshad number: divisible by its digit sum 18.