The number 41140
41140 is a composite number with 36 divisors. Its prime factorisation is × 5 × × 17. Divisors (36): 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 121 … 41140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41140: a Harshad number: divisible by its digit sum 10.
- 2
41140 is composite. Its prime factorisation is
- 3
The divisors add up to 100548; without 41140 itself that is 59408, so 41140 is abundant (59408 is more than 41140). Euler's totient φ(41140) = 14080 numbers up to 41140 share no factor with it.
- 4
The digits of 41140 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41140 = 2^{2} \times 5 \times 11^{2} \times 17 \]41140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 100548 |
| Euler totient φ(n) | 14080 |
| Square | 1692499600 |
| Cube | 69629433544000 |
| Square root | 202.829978 (= 22√85) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.114 × |
41140 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and forty |
| Binary (base 2) | 1010000010110100 |
| Octal (base 8) | 120264 |
| Hexadecimal (base 16) | A0B4 |
| Base 3 | 2002102201 |
| As time | 41140 seconds = 11 h 25 min 40 s |
Is 41140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41140 ÷ 2 = 20570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41140 ÷ 4 = 10285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41140 ÷ 5 = 8228) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41140 ÷ 10 = 4114) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (41140 ÷ 11 = 3740) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41140 a prime number?
No. 41140 = × 5 × × 17, so it is divisible by 2.
What are the factors of 41140?
1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 121, 170, 187, 220, 242, 340, 374, 484, 605, 748, 935, 1210, 1870, 2057, 2420, 3740, 4114, 8228, 10285, 20570, 41140.
What is 41140 in binary?
1010000010110100 (hexadecimal A0B4, octal 120264).
What is the square root of 41140?
About 202.8300, exactly 22√85.
Is 41140 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 41140?
41140 is a Harshad number: divisible by its digit sum 10.