The number 43290
43290 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 13 × 37. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 37, 39, 45, 65 … 43290.
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How to work it out
- 1
What is special about 43290: a Harshad number: divisible by its digit sum 18.
- 2
43290 is composite. Its prime factorisation is
- 3
The divisors add up to 124488; without 43290 itself that is 81198, so 43290 is abundant (81198 is more than 43290). Euler's totient φ(43290) = 10368 numbers up to 43290 share no factor with it.
- 4
The digits of 43290 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43290 = 2 \times 3^{2} \times 5 \times 13 \times 37 \]43290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 124488 |
| Euler totient φ(n) | 10368 |
| Square | 1874024100 |
| Cube | 81126503289000 |
| Square root | 208.062491 (= 3√4810) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.329 × |
43290 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and ninety |
| Binary (base 2) | 1010100100011010 |
| Octal (base 8) | 124432 |
| Hexadecimal (base 16) | A91A |
| Base 3 | 2012101100 |
| As time | 43290 seconds = 12 h 1 min 30 s |
Is 43290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43290 ÷ 2 = 21645) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43290 ÷ 3 = 14430) | 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 (43290 ÷ 5 = 8658) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43290 ÷ 6 = 7215) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43290 ÷ 9 = 4810) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43290 ÷ 10 = 4329) | 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 43290 a prime number?
No. 43290 = 2 × × 5 × 13 × 37, so it is divisible by 2.
What are the factors of 43290?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 37, 39, 45, 65, 74, 78, 90, 111, 117, 130, 185, 195, 222, 234, 333, 370, 390, 481, 555, 585, 666, 962, 1110, 1170, 1443, 1665, 2405, 2886, 3330, 4329, 4810, 7215, 8658, 14430, 21645, 43290.
What is 43290 in binary?
1010100100011010 (hexadecimal A91A, octal 124432).
What is the square root of 43290?
About 208.0625, exactly 3√4810.
Is 43290 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43290?
43290 is a Harshad number: divisible by its digit sum 18.