The number 19120
19120 is a composite number with 20 divisors. Its prime factorisation is × 5 × 239. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 239, 478, 956, 1195, 1912, 2390 … 19120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19120 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 19120 itself that is 25520, so 19120 is abundant (25520 is more than 19120). Euler's totient φ(19120) = 7616 numbers up to 19120 share no factor with it.
- 4
The digits of 19120 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 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19120 = 2^{4} \times 5 \times 239 \]19120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 7616 |
| Square | 365574400 |
| Cube | 6989782528000 |
| Square root | 138.275088 (= 4√1195) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.912 × |
19120 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand one hundred and twenty |
| Binary (base 2) | 100101010110000 |
| Octal (base 8) | 45260 |
| Hexadecimal (base 16) | 4AB0 |
| Base 3 | 222020011 |
| As time | 19120 seconds = 5 h 18 min 40 s |
Is 19120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19120 ÷ 2 = 9560) | 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 | Yes (19120 ÷ 4 = 4780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (19120 ÷ 5 = 3824) | 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 | Yes (19120 ÷ 8 = 2390) | 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 (19120 ÷ 10 = 1912) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19120 a prime number?
No. 19120 = × 5 × 239, so it is divisible by 2.
What are the factors of 19120?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 239, 478, 956, 1195, 1912, 2390, 3824, 4780, 9560, 19120.
What is 19120 in binary?
100101010110000 (hexadecimal 4AB0, octal 45260).
What is the square root of 19120?
About 138.2751, exactly 4√1195.
Is 19120 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 19120?
It is a composite number with 20 divisors.