The number 2120
2120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 53. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2120: a Harshad number: divisible by its digit sum 5.
- 2
2120 is composite. Its prime factorisation is
- 3
The divisors add up to 4860; without 2120 itself that is 2740, so 2120 is abundant (2740 is more than 2120). Euler's totient φ(2120) = 832 numbers up to 2120 share no factor with it.
- 4
The digits of 2120 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2120 = 2^{3} \times 5 \times 53 \]2120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4860 |
| Euler totient φ(n) | 832 |
| Square | 4494400 |
| Cube | 9528128000 |
| Square root | 46.043458 (= 2√530) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 2.12 × |
2120 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and twenty |
| Roman numerals | MMCXX |
| Binary (base 2) | 100001001000 |
| Octal (base 8) | 4110 |
| Hexadecimal (base 16) | 848 |
| Base 3 | 2220112 |
| As time | 2120 seconds = 35 min 20 s |
Is 2120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2120 ÷ 2 = 1060) | 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 (2120 ÷ 4 = 530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2120 ÷ 5 = 424) | 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 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 (2120 ÷ 8 = 265) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2120 ÷ 10 = 212) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 2120 a prime number?
No. 2120 = × 5 × 53, so it is divisible by 2.
What are the factors of 2120?
1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120.
What is 2120 in binary?
100001001000 (hexadecimal 848, octal 4110).
What is the square root of 2120?
About 46.0435, exactly 2√530.
What is 2120 in Roman numerals?
MMCXX.
Is 2120 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 2120?
2120 is a Harshad number: divisible by its digit sum 5.