The number 83490
83490 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × 5 × × 23. Divisors (48): 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69 … 83490.
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How to work it out
- 1
83490 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83490 is composite. Its prime factorisation is
- 3
The divisors add up to 229824; without 83490 itself that is 146334, so 83490 is abundant (146334 is more than 83490). Euler's totient φ(83490) = 19360 numbers up to 83490 share no factor with it.
- 4
The digits of 83490 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83490 = 2 \times 3 \times 5 \times 11^{2} \times 23 \]83490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 229824 |
| Euler totient φ(n) | 19360 |
| Square | 6970580100 |
| Cube | 581973732549000 |
| Square root | 288.946362 (= 11√690) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.349 × |
83490 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and ninety |
| Binary (base 2) | 10100011000100010 |
| Octal (base 8) | 243042 |
| Hexadecimal (base 16) | 14622 |
| Base 3 | 11020112020 |
| As time | 83490 seconds = 23 h 11 min 30 s |
Is 83490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83490 ÷ 2 = 41745) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83490 ÷ 3 = 27830) | 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 (83490 ÷ 5 = 16698) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83490 ÷ 6 = 13915) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (83490 ÷ 10 = 8349) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (83490 ÷ 11 = 7590) | 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 83490 a prime number?
No. 83490 = 2 × 3 × 5 × × 23, so it is divisible by 2.
What are the factors of 83490?
1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 121, 138, 165, 230, 242, 253, 330, 345, 363, 506, 605, 690, 726, 759, 1210, 1265, 1518, 1815, 2530, 2783, 3630, 3795, 5566, 7590, 8349, 13915, 16698, 27830, 41745, 83490.
What is 83490 in binary?
10100011000100010 (hexadecimal 14622, octal 243042).
What is the square root of 83490?
About 288.9464, exactly 11√690.
Is 83490 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83490?
It is a composite number with 48 divisors.