The number 40112
40112 is a composite number with 20 divisors. Its prime factorisation is × 23 × 109. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 92, 109, 184, 218, 368, 436, 872, 1744, 2507 … 40112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40112: a Harshad number: divisible by its digit sum 8.
- 2
40112 is composite. Its prime factorisation is
- 3
The divisors add up to 81840; without 40112 itself that is 41728, so 40112 is abundant (41728 is more than 40112). Euler's totient φ(40112) = 19008 numbers up to 40112 share no factor with it.
- 4
The digits of 40112 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40112 = 2^{4} \times 23 \times 109 \]40112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 81840 |
| Euler totient φ(n) | 19008 |
| Square | 1608972544 |
| Cube | 64539106684928 |
| Square root | 200.279804 (= 4√2507) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0112 × |
40112 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twelve |
| Binary (base 2) | 1001110010110000 |
| Octal (base 8) | 116260 |
| Hexadecimal (base 16) | 9CB0 |
| Base 3 | 2001000122 |
| As time | 40112 seconds = 11 h 8 min 32 s |
Is 40112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40112 ÷ 2 = 20056) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40112 ÷ 4 = 10028) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (40112 ÷ 8 = 5014) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40112 a prime number?
No. 40112 = × 23 × 109, so it is divisible by 2.
What are the factors of 40112?
1, 2, 4, 8, 16, 23, 46, 92, 109, 184, 218, 368, 436, 872, 1744, 2507, 5014, 10028, 20056, 40112.
What is 40112 in binary?
1001110010110000 (hexadecimal 9CB0, octal 116260).
What is the square root of 40112?
About 200.2798, exactly 4√2507.
Is 40112 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 40112?
40112 is a Harshad number: divisible by its digit sum 8.