The number 16720
16720 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 19. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 38, 40, 44, 55, 76 … 16720.
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How to work it out
- 1
What is special about 16720: a Harshad number: divisible by its digit sum 16.
- 2
16720 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 16720 itself that is 27920, so 16720 is abundant (27920 is more than 16720). Euler's totient φ(16720) = 5760 numbers up to 16720 share no factor with it.
- 4
The digits of 16720 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16720 = 2^{4} \times 5 \times 11 \times 19 \]16720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 5760 |
| Square | 279558400 |
| Cube | 4674216448000 |
| Square root | 129.305839 (= 4√1045) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.672 × |
16720 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and twenty |
| Binary (base 2) | 100000101010000 |
| Octal (base 8) | 40520 |
| Hexadecimal (base 16) | 4150 |
| Base 3 | 211221021 |
| As time | 16720 seconds = 4 h 38 min 40 s |
Is 16720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16720 ÷ 2 = 8360) | 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 (16720 ÷ 4 = 4180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16720 ÷ 5 = 3344) | 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 4) | 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 (16720 ÷ 8 = 2090) | 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 (16720 ÷ 10 = 1672) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16720 ÷ 11 = 1520) | 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 16720 a prime number?
No. 16720 = × 5 × 11 × 19, so it is divisible by 2.
What are the factors of 16720?
1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 38, 40, 44, 55, 76, 80, 88, 95, 110, 152, 176, 190, 209, 220, 304, 380, 418, 440, 760, 836, 880, 1045, 1520, 1672, 2090, 3344, 4180, 8360, 16720.
What is 16720 in binary?
100000101010000 (hexadecimal 4150, octal 40520).
What is the square root of 16720?
About 129.3058, exactly 4√1045.
Is 16720 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16720?
16720 is a Harshad number: divisible by its digit sum 16.