The number 40390
40390 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 577. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 577, 1154, 2885, 4039, 5770, 8078, 20195, 40390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40390 is composite. Its prime factorisation is
- 3
The divisors add up to 83232; without 40390 itself that is 42842, so 40390 is abundant (42842 is more than 40390). Euler's totient φ(40390) = 13824 numbers up to 40390 share no factor with it.
- 4
The digits of 40390 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40390 = 2 \times 5 \times 7 \times 577 \]
40390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 83232 |
| Euler totient φ(n) | 13824 |
| Square | 1631352100 |
| Cube | 65890311319000 |
| Square root | 200.972635 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.039 × |
40390 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and ninety |
| Binary (base 2) | 1001110111000110 |
| Octal (base 8) | 116706 |
| Hexadecimal (base 16) | 9DC6 |
| Base 3 | 2001101221 |
| As time | 40390 seconds = 11 h 13 min 10 s |
Is 40390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40390 ÷ 2 = 20195) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40390 ÷ 5 = 8078) | 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 (40390 ÷ 7 = 5770) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40390 ÷ 10 = 4039) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40390 a prime number?
No. 40390 = 2 × 5 × 7 × 577, so it is divisible by 2.
What are the factors of 40390?
1, 2, 5, 7, 10, 14, 35, 70, 577, 1154, 2885, 4039, 5770, 8078, 20195, 40390.
What is 40390 in binary?
1001110111000110 (hexadecimal 9DC6, octal 116706).
What is the square root of 40390?
About 200.9726.
Is 40390 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40390?
It is a composite number with 16 divisors.