The number 40180
40180 is a composite number with 36 divisors. Its prime factorisation is × 5 × × 41. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 49, 70, 82, 98, 140 … 40180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40180 is composite. Its prime factorisation is
- 3
The divisors add up to 100548; without 40180 itself that is 60368, so 40180 is abundant (60368 is more than 40180). Euler's totient φ(40180) = 13440 numbers up to 40180 share no factor with it.
- 4
The digits of 40180 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40180 = 2^{2} \times 5 \times 7^{2} \times 41 \]40180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 100548 |
| Euler totient φ(n) | 13440 |
| Square | 1614432400 |
| Cube | 64867893832000 |
| Square root | 200.449495 (= 14√205) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.018 × |
40180 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and eighty |
| Binary (base 2) | 1001110011110100 |
| Octal (base 8) | 116364 |
| Hexadecimal (base 16) | 9CF4 |
| Base 3 | 2001010011 |
| As time | 40180 seconds = 11 h 9 min 40 s |
Is 40180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40180 ÷ 2 = 20090) | 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 (40180 ÷ 4 = 10045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40180 ÷ 5 = 8036) | 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 (40180 ÷ 7 = 5740) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40180 ÷ 10 = 4018) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 40180 a prime number?
No. 40180 = × 5 × × 41, so it is divisible by 2.
What are the factors of 40180?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 49, 70, 82, 98, 140, 164, 196, 205, 245, 287, 410, 490, 574, 820, 980, 1148, 1435, 2009, 2870, 4018, 5740, 8036, 10045, 20090, 40180.
What is 40180 in binary?
1001110011110100 (hexadecimal 9CF4, octal 116364).
What is the square root of 40180?
About 200.4495, exactly 14√205.
Is 40180 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40180?
It is a composite number with 36 divisors.