The number 52120
52120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1303. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1303, 2606, 5212, 6515, 10424, 13030, 26060, 52120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52120: a Harshad number: divisible by its digit sum 10.
- 2
52120 is composite. Its prime factorisation is
- 3
The divisors add up to 117360; without 52120 itself that is 65240, so 52120 is abundant (65240 is more than 52120). Euler's totient φ(52120) = 20832 numbers up to 52120 share no factor with it.
- 4
The digits of 52120 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52120 = 2^{3} \times 5 \times 1303 \]52120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 117360 |
| Euler totient φ(n) | 20832 |
| Square | 2716494400 |
| Cube | 141583688128000 |
| Square root | 228.298051 (= 2√13030) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.212 × |
52120 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and twenty |
| Binary (base 2) | 1100101110011000 |
| Octal (base 8) | 145630 |
| Hexadecimal (base 16) | CB98 |
| Base 3 | 2122111101 |
| As time | 52120 seconds = 14 h 28 min 40 s |
Is 52120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52120 ÷ 2 = 26060) | 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 (52120 ÷ 4 = 13030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52120 ÷ 5 = 10424) | 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 5) | 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 (52120 ÷ 8 = 6515) | 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 (52120 ÷ 10 = 5212) | 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 52120 a prime number?
No. 52120 = × 5 × 1303, so it is divisible by 2.
What are the factors of 52120?
1, 2, 4, 5, 8, 10, 20, 40, 1303, 2606, 5212, 6515, 10424, 13030, 26060, 52120.
What is 52120 in binary?
1100101110011000 (hexadecimal CB98, octal 145630).
What is the square root of 52120?
About 228.2981, exactly 2√13030.
Is 52120 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 52120?
52120 is a Harshad number: divisible by its digit sum 10.