The number 16290
16290 is a triangular number: 1 + 2 + … + 180 = 16290. Its prime factorisation is 2 × × 5 × 181. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 181, 362, 543, 905 … 16290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16290: a triangular number: 1 + 2 + … + 180 = 16290; a Harshad number: divisible by its digit sum 18.
- 2
16290 is composite. Its prime factorisation is
- 3
The divisors add up to 42588; without 16290 itself that is 26298, so 16290 is abundant (26298 is more than 16290). Euler's totient φ(16290) = 4320 numbers up to 16290 share no factor with it.
- 4
The digits of 16290 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16290 = 2 \times 3^{2} \times 5 \times 181 \]16290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42588 |
| Euler totient φ(n) | 4320 |
| Square | 265364100 |
| Cube | 4322781189000 |
| Square root | 127.632284 (= 3√1810) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.629 × |
16290 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and ninety |
| Binary (base 2) | 11111110100010 |
| Octal (base 8) | 37642 |
| Hexadecimal (base 16) | 3FA2 |
| Base 3 | 211100100 |
| As time | 16290 seconds = 4 h 31 min 30 s |
Is 16290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16290 ÷ 2 = 8145) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16290 ÷ 3 = 5430) | 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 (16290 ÷ 5 = 3258) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16290 ÷ 6 = 2715) | 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 | Yes (16290 ÷ 9 = 1810) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16290 ÷ 10 = 1629) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 16290 a prime number?
No. 16290 = 2 × × 5 × 181, so it is divisible by 2.
What are the factors of 16290?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 181, 362, 543, 905, 1086, 1629, 1810, 2715, 3258, 5430, 8145, 16290.
What is 16290 in binary?
11111110100010 (hexadecimal 3FA2, octal 37642).
What is the square root of 16290?
About 127.6323, exactly 3√1810.
Is 16290 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16290?
16290 is a triangular number: 1 + 2 + … + 180 = 16290; a Harshad number: divisible by its digit sum 18.