The number 1520
1520 is a composite number with 20 divisors. Its prime factorisation is × 5 × 19. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190 … 1520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1520: a Harshad number: divisible by its digit sum 8.
- 2
1520 is composite. Its prime factorisation is
- 3
The divisors add up to 3720; without 1520 itself that is 2200, so 1520 is abundant (2200 is more than 1520). Euler's totient φ(1520) = 576 numbers up to 1520 share no factor with it.
- 4
The digits of 1520 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1520 = 2^{4} \times 5 \times 19 \]1520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 3720 |
| Euler totient φ(n) | 576 |
| Square | 2310400 |
| Cube | 3511808000 |
| Square root | 38.987177 (= 4√95) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 109 |
| Scientific notation | 1.52 × |
1520 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and twenty |
| Roman numerals | MDXX |
| Binary (base 2) | 10111110000 |
| Octal (base 8) | 2760 |
| Hexadecimal (base 16) | 5F0 |
| Base 3 | 2002022 |
| As time | 1520 seconds = 25 min 20 s |
Is 1520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1520 ÷ 2 = 760) | 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 (1520 ÷ 4 = 380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1520 ÷ 5 = 304) | 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 (1520 ÷ 8 = 190) | 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 (1520 ÷ 10 = 152) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1520 a prime number?
No. 1520 = × 5 × 19, so it is divisible by 2.
What are the factors of 1520?
1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520.
What is 1520 in binary?
10111110000 (hexadecimal 5F0, octal 2760).
What is the square root of 1520?
About 38.9872, exactly 4√95.
What is 1520 in Roman numerals?
MDXX.
Is 1520 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1520?
1520 is a Harshad number: divisible by its digit sum 8.