The number 40680
40680 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 113. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 40680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40680: a Harshad number: divisible by its digit sum 18.
- 2
40680 is composite. Its prime factorisation is
- 3
The divisors add up to 133380; without 40680 itself that is 92700, so 40680 is abundant (92700 is more than 40680). Euler's totient φ(40680) = 10752 numbers up to 40680 share no factor with it.
- 4
The digits of 40680 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40680 = 2^{3} \times 3^{2} \times 5 \times 113 \]40680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 133380 |
| Euler totient φ(n) | 10752 |
| Square | 1654862400 |
| Cube | 67319802432000 |
| Square root | 201.692836 (= 6√1130) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.068 × |
40680 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and eighty |
| Binary (base 2) | 1001111011101000 |
| Octal (base 8) | 117350 |
| Hexadecimal (base 16) | 9EE8 |
| Base 3 | 2001210200 |
| As time | 40680 seconds = 11 h 18 min 0 s |
Is 40680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40680 ÷ 2 = 20340) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40680 ÷ 3 = 13560) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40680 ÷ 4 = 10170) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40680 ÷ 5 = 8136) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40680 ÷ 6 = 6780) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (40680 ÷ 8 = 5085) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40680 ÷ 9 = 4520) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40680 ÷ 10 = 4068) | 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 | Yes (40680 ÷ 12 = 3390) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40680 a prime number?
No. 40680 = × × 5 × 113, so it is divisible by 2.
What are the factors of 40680?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 113, 120, 180, 226, 339, 360, 452, 565, 678, 904, 1017, 1130, 1356, 1695, 2034, 2260, 2712, 3390, 4068, 4520, 5085, 6780, 8136, 10170, 13560, 20340, 40680.
What is 40680 in binary?
1001111011101000 (hexadecimal 9EE8, octal 117350).
What is the square root of 40680?
About 201.6928, exactly 6√1130.
Is 40680 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40680?
40680 is a Harshad number: divisible by its digit sum 18.