The number 14120
14120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 353. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 353, 706, 1412, 1765, 2824, 3530, 7060, 14120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14120: a Harshad number: divisible by its digit sum 8.
- 2
14120 is composite. Its prime factorisation is
- 3
The divisors add up to 31860; without 14120 itself that is 17740, so 14120 is abundant (17740 is more than 14120). Euler's totient φ(14120) = 5632 numbers up to 14120 share no factor with it.
- 4
The digits of 14120 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14120 = 2^{3} \times 5 \times 353 \]14120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31860 |
| Euler totient φ(n) | 5632 |
| Square | 199374400 |
| Cube | 2815166528000 |
| Square root | 118.827606 (= 2√3530) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.412 × |
14120 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and twenty |
| Binary (base 2) | 11011100101000 |
| Octal (base 8) | 33450 |
| Hexadecimal (base 16) | 3728 |
| Base 3 | 201100222 |
| As time | 14120 seconds = 3 h 55 min 20 s |
Is 14120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14120 ÷ 2 = 7060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14120 ÷ 4 = 3530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14120 ÷ 5 = 2824) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (14120 ÷ 8 = 1765) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14120 ÷ 10 = 1412) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14120 a prime number?
No. 14120 = × 5 × 353, so it is divisible by 2.
What are the factors of 14120?
1, 2, 4, 5, 8, 10, 20, 40, 353, 706, 1412, 1765, 2824, 3530, 7060, 14120.
What is 14120 in binary?
11011100101000 (hexadecimal 3728, octal 33450).
What is the square root of 14120?
About 118.8276, exactly 2√3530.
Is 14120 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 14120?
14120 is a Harshad number: divisible by its digit sum 8.