The number 40068
40068 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 53. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 53 … 40068.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40068: a Harshad number: divisible by its digit sum 18.
- 2
40068 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 40068 itself that is 80892, so 40068 is abundant (80892 is more than 40068). Euler's totient φ(40068) = 11232 numbers up to 40068 share no factor with it.
- 4
The digits of 40068 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40068 = 2^{2} \times 3^{3} \times 7 \times 53 \]40068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 11232 |
| Square | 1605444624 |
| Cube | 64326955194432 |
| Square root | 200.169928 (= 6√1113) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0068 × |
40068 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and sixty-eight |
| Binary (base 2) | 1001110010000100 |
| Octal (base 8) | 116204 |
| Hexadecimal (base 16) | 9C84 |
| Base 3 | 2000222000 |
| As time | 40068 seconds = 11 h 7 min 48 s |
Is 40068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40068 ÷ 2 = 20034) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40068 ÷ 3 = 13356) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40068 ÷ 4 = 10017) | 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 | Yes (40068 ÷ 6 = 6678) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40068 ÷ 7 = 5724) | 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 | Yes (40068 ÷ 9 = 4452) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40068 ÷ 12 = 3339) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40068 a prime number?
No. 40068 = × × 7 × 53, so it is divisible by 2.
What are the factors of 40068?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 53, 54, 63, 84, 106, 108, 126, 159, 189, 212, 252, 318, 371, 378, 477, 636, 742, 756, 954, 1113, 1431, 1484, 1908, 2226, 2862, 3339, 4452, 5724, 6678, 10017, 13356, 20034, 40068.
What is 40068 in binary?
1001110010000100 (hexadecimal 9C84, octal 116204).
What is the square root of 40068?
About 200.1699, exactly 6√1113.
Is 40068 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40068?
40068 is a Harshad number: divisible by its digit sum 18.