The number 40090
40090 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 19 × 211. Divisors (16): 1, 2, 5, 10, 19, 38, 95, 190, 211, 422, 1055, 2110, 4009, 8018, 20045, 40090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40090: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40090 is composite. Its prime factorisation is
- 3
The divisors add up to 76320; without 40090 itself that is 36230, so 40090 is deficient (36230 is less than 40090). Euler's totient φ(40090) = 15120 numbers up to 40090 share no factor with it.
- 4
The digits of 40090 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
\[ 40090 = 2 \times 5 \times 19 \times 211 \]
40090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76320 |
| Euler totient φ(n) | 15120 |
| Square | 1607208100 |
| Cube | 64432972729000 |
| Square root | 200.224874 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.009 × |
40090 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and ninety |
| Binary (base 2) | 1001110010011010 |
| Octal (base 8) | 116232 |
| Hexadecimal (base 16) | 9C9A |
| Base 3 | 2000222211 |
| As time | 40090 seconds = 11 h 8 min 10 s |
Is 40090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40090 ÷ 2 = 20045) | 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 (40090 ÷ 5 = 8018) | 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 1) | 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 2) | 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 (40090 ÷ 10 = 4009) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 40090 a prime number?
No. 40090 = 2 × 5 × 19 × 211, so it is divisible by 2.
What are the factors of 40090?
1, 2, 5, 10, 19, 38, 95, 190, 211, 422, 1055, 2110, 4009, 8018, 20045, 40090.
What is 40090 in binary?
1001110010011010 (hexadecimal 9C9A, octal 116232).
What is the square root of 40090?
About 200.2249.
Is 40090 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40090?
40090 is a happy number: repeatedly adding the squares of its digits reaches 1.