The number 40360
40360 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1009. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1009, 2018, 4036, 5045, 8072, 10090, 20180, 40360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40360 is composite. Its prime factorisation is
- 3
The divisors add up to 90900; without 40360 itself that is 50540, so 40360 is abundant (50540 is more than 40360). Euler's totient φ(40360) = 16128 numbers up to 40360 share no factor with it.
- 4
The digits of 40360 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40360 = 2^{3} \times 5 \times 1009 \]40360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90900 |
| Euler totient φ(n) | 16128 |
| Square | 1628929600 |
| Cube | 65743598656000 |
| Square root | 200.897984 (= 2√10090) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.036 × |
40360 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and sixty |
| Binary (base 2) | 1001110110101000 |
| Octal (base 8) | 116650 |
| Hexadecimal (base 16) | 9DA8 |
| Base 3 | 2001100211 |
| As time | 40360 seconds = 11 h 12 min 40 s |
Is 40360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40360 ÷ 2 = 20180) | 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 (40360 ÷ 4 = 10090) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40360 ÷ 5 = 8072) | 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 | No (remainder 5) | 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 (40360 ÷ 8 = 5045) | 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 (40360 ÷ 10 = 4036) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 40360 a prime number?
No. 40360 = × 5 × 1009, so it is divisible by 2.
What are the factors of 40360?
1, 2, 4, 5, 8, 10, 20, 40, 1009, 2018, 4036, 5045, 8072, 10090, 20180, 40360.
What is 40360 in binary?
1001110110101000 (hexadecimal 9DA8, octal 116650).
What is the square root of 40360?
About 200.8980, exactly 2√10090.
Is 40360 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40360?
It is a composite number with 16 divisors.