The number 16920
16920 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 47. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 16920.
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How to work it out
- 1
What is special about 16920: a Harshad number: divisible by its digit sum 18.
- 2
16920 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 16920 itself that is 39240, so 16920 is abundant (39240 is more than 16920). Euler's totient φ(16920) = 4416 numbers up to 16920 share no factor with it.
- 4
The digits of 16920 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16920 = 2^{3} \times 3^{2} \times 5 \times 47 \]16920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 4416 |
| Square | 286286400 |
| Cube | 4843965888000 |
| Square root | 130.076900 (= 6√470) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.692 × |
16920 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and twenty |
| Binary (base 2) | 100001000011000 |
| Octal (base 8) | 41030 |
| Hexadecimal (base 16) | 4218 |
| Base 3 | 212012200 |
| As time | 16920 seconds = 4 h 42 min 0 s |
Is 16920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16920 ÷ 2 = 8460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16920 ÷ 3 = 5640) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16920 ÷ 4 = 4230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16920 ÷ 5 = 3384) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16920 ÷ 6 = 2820) | 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 (16920 ÷ 8 = 2115) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16920 ÷ 9 = 1880) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16920 ÷ 10 = 1692) | 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 | Yes (16920 ÷ 12 = 1410) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16920 a prime number?
No. 16920 = × × 5 × 47, so it is divisible by 2.
What are the factors of 16920?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 47, 60, 72, 90, 94, 120, 141, 180, 188, 235, 282, 360, 376, 423, 470, 564, 705, 846, 940, 1128, 1410, 1692, 1880, 2115, 2820, 3384, 4230, 5640, 8460, 16920.
What is 16920 in binary?
100001000011000 (hexadecimal 4218, octal 41030).
What is the square root of 16920?
About 130.0769, exactly 6√470.
Is 16920 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16920?
16920 is a Harshad number: divisible by its digit sum 18.