The number 520
520 is a composite number with 16 divisors. Its prime factorisation is × 5 × 13. Divisors (16): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
520 is composite. Its prime factorisation is
- 3
The divisors add up to 1260; without 520 itself that is 740, so 520 is abundant (740 is more than 520). Euler's totient φ(520) = 192 numbers up to 520 share no factor with it.
- 4
The digits of 520 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 520 = 2^{3} \times 5 \times 13 \]520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1260 |
| Euler totient φ(n) | 192 |
| Square | 270400 |
| Cube | 140608000 |
| Square root | 22.803509 (= 2√130) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.2 × |
520 in other forms
| Form | Value |
|---|---|
| In words | five hundred and twenty |
| Roman numerals | DXX |
| Binary (base 2) | 1000001000 |
| Octal (base 8) | 1010 |
| Hexadecimal (base 16) | 208 |
| Base 3 | 201021 |
| As time | 520 seconds = 8 min 40 s |
Is 520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (520 ÷ 2 = 260) | 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 (520 ÷ 4 = 130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (520 ÷ 5 = 104) | 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 2) | 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 (520 ÷ 8 = 65) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (520 ÷ 10 = 52) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 520 a prime number?
No. 520 = × 5 × 13, so it is divisible by 2.
What are the factors of 520?
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
What is 520 in binary?
1000001000 (hexadecimal 208, octal 1010).
What is the square root of 520?
About 22.8035, exactly 2√130.
What is 520 in Roman numerals?
DXX.
Is 520 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 520?
It is a composite number with 16 divisors.