The number 41040
41040 is a composite number with 80 divisors. Its prime factorisation is × × 5 × 19. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24 … 41040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41040: a Harshad number: divisible by its digit sum 9.
- 2
41040 is composite. Its prime factorisation is
- 3
The divisors add up to 148800; without 41040 itself that is 107760, so 41040 is abundant (107760 is more than 41040). Euler's totient φ(41040) = 10368 numbers up to 41040 share no factor with it.
- 4
The digits of 41040 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41040 = 2^{4} \times 3^{3} \times 5 \times 19 \]41040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 148800 |
| Euler totient φ(n) | 10368 |
| Square | 1684281600 |
| Cube | 69122916864000 |
| Square root | 202.583316 (= 12√285) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.104 × |
41040 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and forty |
| Binary (base 2) | 1010000001010000 |
| Octal (base 8) | 120120 |
| Hexadecimal (base 16) | A050 |
| Base 3 | 2002022000 |
| As time | 41040 seconds = 11 h 24 min 0 s |
Is 41040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41040 ÷ 2 = 20520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41040 ÷ 3 = 13680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41040 ÷ 4 = 10260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41040 ÷ 5 = 8208) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41040 ÷ 6 = 6840) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (41040 ÷ 8 = 5130) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41040 ÷ 9 = 4560) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41040 ÷ 10 = 4104) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41040 ÷ 12 = 3420) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41040 a prime number?
No. 41040 = × × 5 × 19, so it is divisible by 2.
What are the factors of 41040?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 27, 30, 36, 38, 40, 45, 48, 54, 57, 60, 72, 76, 80, 90, 95, 108, 114, 120, 135, 144, 152, 171, 180, 190, 216, 228, 240, 270, 285, 304, 342, 360, 380, 432, 456, 513, 540, 570, 684, 720, 760, 855, 912, 1026, 1080, 1140, 1368, 1520, 1710, 2052, 2160, 2280, 2565, 2736, 3420, 4104, 4560, 5130, 6840, 8208, 10260, 13680, 20520, 41040.
What is 41040 in binary?
1010000001010000 (hexadecimal A050, octal 120120).
What is the square root of 41040?
About 202.5833, exactly 12√285.
Is 41040 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41040?
41040 is a Harshad number: divisible by its digit sum 9.