The number 16520
16520 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 59. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 59, 70, 118 … 16520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16520: a Harshad number: divisible by its digit sum 14.
- 2
16520 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 16520 itself that is 26680, so 16520 is abundant (26680 is more than 16520). Euler's totient φ(16520) = 5568 numbers up to 16520 share no factor with it.
- 4
The digits of 16520 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16520 = 2^{3} \times 5 \times 7 \times 59 \]16520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 5568 |
| Square | 272910400 |
| Cube | 4508479808000 |
| Square root | 128.530152 (= 2√4130) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.652 × |
16520 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and twenty |
| Binary (base 2) | 100000010001000 |
| Octal (base 8) | 40210 |
| Hexadecimal (base 16) | 4088 |
| Base 3 | 211122212 |
| As time | 16520 seconds = 4 h 35 min 20 s |
Is 16520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16520 ÷ 2 = 8260) | 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 (16520 ÷ 4 = 4130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16520 ÷ 5 = 3304) | 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 | Yes (16520 ÷ 7 = 2360) | 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 (16520 ÷ 8 = 2065) | 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 (16520 ÷ 10 = 1652) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 16520 a prime number?
No. 16520 = × 5 × 7 × 59, so it is divisible by 2.
What are the factors of 16520?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 59, 70, 118, 140, 236, 280, 295, 413, 472, 590, 826, 1180, 1652, 2065, 2360, 3304, 4130, 8260, 16520.
What is 16520 in binary?
100000010001000 (hexadecimal 4088, octal 40210).
What is the square root of 16520?
About 128.5302, exactly 2√4130.
Is 16520 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16520?
16520 is a Harshad number: divisible by its digit sum 14.