The number 16080
16080 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 67. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 16080.
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How to work it out
- 1
What is special about 16080: a Harshad number: divisible by its digit sum 15.
- 2
16080 is composite. Its prime factorisation is
- 3
The divisors add up to 50592; without 16080 itself that is 34512, so 16080 is abundant (34512 is more than 16080). Euler's totient φ(16080) = 4224 numbers up to 16080 share no factor with it.
- 4
The digits of 16080 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16080 = 2^{4} \times 3 \times 5 \times 67 \]16080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 50592 |
| Euler totient φ(n) | 4224 |
| Square | 258566400 |
| Cube | 4157747712000 |
| Square root | 126.806940 (= 4√1005) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.608 × |
16080 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and eighty |
| Binary (base 2) | 11111011010000 |
| Octal (base 8) | 37320 |
| Hexadecimal (base 16) | 3ED0 |
| Base 3 | 211001120 |
| As time | 16080 seconds = 4 h 28 min 0 s |
Is 16080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16080 ÷ 2 = 8040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16080 ÷ 3 = 5360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16080 ÷ 4 = 4020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16080 ÷ 5 = 3216) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16080 ÷ 6 = 2680) | 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 (16080 ÷ 8 = 2010) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16080 ÷ 10 = 1608) | 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 | Yes (16080 ÷ 12 = 1340) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16080 a prime number?
No. 16080 = × 3 × 5 × 67, so it is divisible by 2.
What are the factors of 16080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 67, 80, 120, 134, 201, 240, 268, 335, 402, 536, 670, 804, 1005, 1072, 1340, 1608, 2010, 2680, 3216, 4020, 5360, 8040, 16080.
What is 16080 in binary?
11111011010000 (hexadecimal 3ED0, octal 37320).
What is the square root of 16080?
About 126.8069, exactly 4√1005.
Is 16080 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16080?
16080 is a Harshad number: divisible by its digit sum 15.