The number 40940
40940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 89. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 89, 92, 115, 178, 230, 356, 445, 460 … 40940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40940 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 40940 itself that is 49780, so 40940 is abundant (49780 is more than 40940). Euler's totient φ(40940) = 15488 numbers up to 40940 share no factor with it.
- 4
The digits of 40940 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40940 = 2^{2} \times 5 \times 23 \times 89 \]40940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 15488 |
| Square | 1676083600 |
| Cube | 68618862584000 |
| Square root | 202.336354 (= 2√10235) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.094 × |
40940 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and forty |
| Binary (base 2) | 1001111111101100 |
| Octal (base 8) | 117754 |
| Hexadecimal (base 16) | 9FEC |
| Base 3 | 2002011022 |
| As time | 40940 seconds = 11 h 22 min 20 s |
Is 40940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40940 ÷ 2 = 20470) | 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 (40940 ÷ 4 = 10235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40940 ÷ 5 = 8188) | 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 4) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40940 ÷ 10 = 4094) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 40940 a prime number?
No. 40940 = × 5 × 23 × 89, so it is divisible by 2.
What are the factors of 40940?
1, 2, 4, 5, 10, 20, 23, 46, 89, 92, 115, 178, 230, 356, 445, 460, 890, 1780, 2047, 4094, 8188, 10235, 20470, 40940.
What is 40940 in binary?
1001111111101100 (hexadecimal 9FEC, octal 117754).
What is the square root of 40940?
About 202.3364, exactly 2√10235.
Is 40940 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40940?
It is a composite number with 24 divisors.