The number 41490
41490 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 461. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 461, 922, 1383, 2305 … 41490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41490: a Harshad number: divisible by its digit sum 18.
- 2
41490 is composite. Its prime factorisation is
- 3
The divisors add up to 108108; without 41490 itself that is 66618, so 41490 is abundant (66618 is more than 41490). Euler's totient φ(41490) = 11040 numbers up to 41490 share no factor with it.
- 4
The digits of 41490 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41490 = 2 \times 3^{2} \times 5 \times 461 \]41490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108108 |
| Euler totient φ(n) | 11040 |
| Square | 1721420100 |
| Cube | 71421719949000 |
| Square root | 203.690942 (= 3√4610) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.149 × |
41490 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and ninety |
| Binary (base 2) | 1010001000010010 |
| Octal (base 8) | 121022 |
| Hexadecimal (base 16) | A212 |
| Base 3 | 2002220200 |
| As time | 41490 seconds = 11 h 31 min 30 s |
Is 41490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41490 ÷ 2 = 20745) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41490 ÷ 3 = 13830) | 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 (41490 ÷ 5 = 8298) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41490 ÷ 6 = 6915) | 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 | Yes (41490 ÷ 9 = 4610) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41490 ÷ 10 = 4149) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 41490 a prime number?
No. 41490 = 2 × × 5 × 461, so it is divisible by 2.
What are the factors of 41490?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 461, 922, 1383, 2305, 2766, 4149, 4610, 6915, 8298, 13830, 20745, 41490.
What is 41490 in binary?
1010001000010010 (hexadecimal A212, octal 121022).
What is the square root of 41490?
About 203.6909, exactly 3√4610.
Is 41490 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 41490?
41490 is a Harshad number: divisible by its digit sum 18.