The number 40160
40160 is a composite number with 24 divisors. Its prime factorisation is × 5 × 251. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255 … 40160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40160 is composite. Its prime factorisation is
- 3
The divisors add up to 95256; without 40160 itself that is 55096, so 40160 is abundant (55096 is more than 40160). Euler's totient φ(40160) = 16000 numbers up to 40160 share no factor with it.
- 4
The digits of 40160 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40160 = 2^{5} \times 5 \times 251 \]40160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95256 |
| Euler totient φ(n) | 16000 |
| Square | 1612825600 |
| Cube | 64771076096000 |
| Square root | 200.399601 (= 4√2510) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.016 × |
40160 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty |
| Binary (base 2) | 1001110011100000 |
| Octal (base 8) | 116340 |
| Hexadecimal (base 16) | 9CE0 |
| Base 3 | 2001002102 |
| As time | 40160 seconds = 11 h 9 min 20 s |
Is 40160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40160 ÷ 2 = 20080) | 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 (40160 ÷ 4 = 10040) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40160 ÷ 5 = 8032) | 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 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 | Yes (40160 ÷ 8 = 5020) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40160 ÷ 10 = 4016) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40160 a prime number?
No. 40160 = × 5 × 251, so it is divisible by 2.
What are the factors of 40160?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 20080, 40160.
What is 40160 in binary?
1001110011100000 (hexadecimal 9CE0, octal 116340).
What is the square root of 40160?
About 200.3996, exactly 4√2510.
Is 40160 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40160?
It is a composite number with 24 divisors.