The number 40290
40290 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 17 × 79. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 79, 85, 102, 158, 170 … 40290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40290: a Harshad number: divisible by its digit sum 15.
- 2
40290 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 40290 itself that is 63390, so 40290 is abundant (63390 is more than 40290). Euler's totient φ(40290) = 9984 numbers up to 40290 share no factor with it.
- 4
The digits of 40290 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40290 = 2 \times 3 \times 5 \times 17 \times 79 \]
40290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 9984 |
| Square | 1623284100 |
| Cube | 65402116389000 |
| Square root | 200.723691 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.029 × |
40290 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and ninety |
| Binary (base 2) | 1001110101100010 |
| Octal (base 8) | 116542 |
| Hexadecimal (base 16) | 9D62 |
| Base 3 | 2001021020 |
| As time | 40290 seconds = 11 h 11 min 30 s |
Is 40290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40290 ÷ 2 = 20145) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40290 ÷ 3 = 13430) | 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 (40290 ÷ 5 = 8058) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40290 ÷ 6 = 6715) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40290 ÷ 10 = 4029) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40290 a prime number?
No. 40290 = 2 × 3 × 5 × 17 × 79, so it is divisible by 2.
What are the factors of 40290?
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 79, 85, 102, 158, 170, 237, 255, 395, 474, 510, 790, 1185, 1343, 2370, 2686, 4029, 6715, 8058, 13430, 20145, 40290.
What is 40290 in binary?
1001110101100010 (hexadecimal 9D62, octal 116542).
What is the square root of 40290?
About 200.7237.
Is 40290 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40290?
40290 is a Harshad number: divisible by its digit sum 15.