The number 38190
38190 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 19 × 67. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 67, 95, 114, 134, 190 … 38190.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38190 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38190 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 38190 itself that is 59730, so 38190 is abundant (59730 is more than 38190). Euler's totient φ(38190) = 9504 numbers up to 38190 share no factor with it.
- 4
The digits of 38190 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38190 = 2 \times 3 \times 5 \times 19 \times 67 \]
38190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 9504 |
| Square | 1458476100 |
| Cube | 55699202259000 |
| Square root | 195.422619 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.819 × |
38190 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and ninety |
| Binary (base 2) | 1001010100101110 |
| Octal (base 8) | 112456 |
| Hexadecimal (base 16) | 952E |
| Base 3 | 1221101110 |
| As time | 38190 seconds = 10 h 36 min 30 s |
Is 38190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38190 ÷ 2 = 19095) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38190 ÷ 3 = 12730) | 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 (38190 ÷ 5 = 7638) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38190 ÷ 6 = 6365) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38190 ÷ 10 = 3819) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38190 a prime number?
No. 38190 = 2 × 3 × 5 × 19 × 67, so it is divisible by 2.
What are the factors of 38190?
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 67, 95, 114, 134, 190, 201, 285, 335, 402, 570, 670, 1005, 1273, 2010, 2546, 3819, 6365, 7638, 12730, 19095, 38190.
What is 38190 in binary?
1001010100101110 (hexadecimal 952E, octal 112456).
What is the square root of 38190?
About 195.4226.
Is 38190 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38190?
It is a composite number with 32 divisors.