The number 16120
16120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 31. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 20, 26, 31, 40, 52, 62, 65, 104, 124 … 16120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16120: a Harshad number: divisible by its digit sum 10.
- 2
16120 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 16120 itself that is 24200, so 16120 is abundant (24200 is more than 16120). Euler's totient φ(16120) = 5760 numbers up to 16120 share no factor with it.
- 4
The digits of 16120 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16120 = 2^{3} \times 5 \times 13 \times 31 \]16120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 5760 |
| Square | 259854400 |
| Cube | 4188852928000 |
| Square root | 126.964562 (= 2√4030) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.612 × |
16120 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and twenty |
| Binary (base 2) | 11111011111000 |
| Octal (base 8) | 37370 |
| Hexadecimal (base 16) | 3EF8 |
| Base 3 | 211010001 |
| As time | 16120 seconds = 4 h 28 min 40 s |
Is 16120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16120 ÷ 2 = 8060) | 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 (16120 ÷ 4 = 4030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16120 ÷ 5 = 3224) | 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 6) | 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 (16120 ÷ 8 = 2015) | 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 (16120 ÷ 10 = 1612) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 16120 a prime number?
No. 16120 = × 5 × 13 × 31, so it is divisible by 2.
What are the factors of 16120?
1, 2, 4, 5, 8, 10, 13, 20, 26, 31, 40, 52, 62, 65, 104, 124, 130, 155, 248, 260, 310, 403, 520, 620, 806, 1240, 1612, 2015, 3224, 4030, 8060, 16120.
What is 16120 in binary?
11111011111000 (hexadecimal 3EF8, octal 37370).
What is the square root of 16120?
About 126.9646, exactly 2√4030.
Is 16120 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 16120?
16120 is a Harshad number: divisible by its digit sum 10.