The number 16390
16390 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 149. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 149, 298, 745, 1490, 1639, 3278, 8195, 16390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16390 is composite. Its prime factorisation is
- 3
The divisors add up to 32400; without 16390 itself that is 16010, so 16390 is deficient (16010 is less than 16390). Euler's totient φ(16390) = 5920 numbers up to 16390 share no factor with it.
- 4
The digits of 16390 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16390 = 2 \times 5 \times 11 \times 149 \]
16390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32400 |
| Euler totient φ(n) | 5920 |
| Square | 268632100 |
| Cube | 4402880119000 |
| Square root | 128.023435 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.639 × |
16390 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and ninety |
| Binary (base 2) | 100000000000110 |
| Octal (base 8) | 40006 |
| Hexadecimal (base 16) | 4006 |
| Base 3 | 211111001 |
| As time | 16390 seconds = 4 h 33 min 10 s |
Is 16390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16390 ÷ 2 = 8195) | 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 (16390 ÷ 5 = 3278) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16390 ÷ 10 = 1639) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16390 ÷ 11 = 1490) | 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 16390 a prime number?
No. 16390 = 2 × 5 × 11 × 149, so it is divisible by 2.
What are the factors of 16390?
1, 2, 5, 10, 11, 22, 55, 110, 149, 298, 745, 1490, 1639, 3278, 8195, 16390.
What is 16390 in binary?
100000000000110 (hexadecimal 4006, octal 40006).
What is the square root of 16390?
About 128.0234.
Is 16390 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16390?
It is a composite number with 16 divisors.