The number 40768
40768 is a composite number with 42 divisors. Its prime factorisation is × × 13. Divisors (42): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 64, 91 … 40768.
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How to work it out
- 1
40768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40768 is composite. Its prime factorisation is
- 3
The divisors add up to 101346; without 40768 itself that is 60578, so 40768 is abundant (60578 is more than 40768). Euler's totient φ(40768) = 16128 numbers up to 40768 share no factor with it.
- 4
The digits of 40768 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40768 = 2^{6} \times 7^{2} \times 13 \]40768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 101346 |
| Euler totient φ(n) | 16128 |
| Square | 1662029824 |
| Cube | 67757631864832 |
| Square root | 201.910871 (= 56√13) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0768 × |
40768 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and sixty-eight |
| Binary (base 2) | 1001111101000000 |
| Octal (base 8) | 117500 |
| Hexadecimal (base 16) | 9F40 |
| Base 3 | 2001220221 |
| As time | 40768 seconds = 11 h 19 min 28 s |
Is 40768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40768 ÷ 2 = 20384) | 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 (40768 ÷ 4 = 10192) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (40768 ÷ 7 = 5824) | 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 (40768 ÷ 8 = 5096) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 40768 a prime number?
No. 40768 = × × 13, so it is divisible by 2.
What are the factors of 40768?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 64, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 448, 637, 728, 784, 832, 1274, 1456, 1568, 2548, 2912, 3136, 5096, 5824, 10192, 20384, 40768.
What is 40768 in binary?
1001111101000000 (hexadecimal 9F40, octal 117500).
What is the square root of 40768?
About 201.9109, exactly 56√13.
Is 40768 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 40768?
It is a composite number with 42 divisors.