The number 56016
56016 is a composite number with 30 divisors. Its prime factorisation is × × 389. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 389 … 56016.
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How to work it out
- 1
What is special about 56016: a Harshad number: divisible by its digit sum 18.
- 2
56016 is composite. Its prime factorisation is
- 3
The divisors add up to 157170; without 56016 itself that is 101154, so 56016 is abundant (101154 is more than 56016). Euler's totient φ(56016) = 18624 numbers up to 56016 share no factor with it.
- 4
The digits of 56016 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56016 = 2^{4} \times 3^{2} \times 389 \]56016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 157170 |
| Euler totient φ(n) | 18624 |
| Square | 3137792256 |
| Cube | 175766571012096 |
| Square root | 236.676995 (= 12√389) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.6016 × |
56016 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand and sixteen |
| Binary (base 2) | 1101101011010000 |
| Octal (base 8) | 155320 |
| Hexadecimal (base 16) | DAD0 |
| Base 3 | 2211211200 |
| As time | 56016 seconds = 15 h 33 min 36 s |
Is 56016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56016 ÷ 2 = 28008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56016 ÷ 3 = 18672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56016 ÷ 4 = 14004) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (56016 ÷ 6 = 9336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (56016 ÷ 8 = 7002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56016 ÷ 9 = 6224) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56016 ÷ 12 = 4668) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56016 a prime number?
No. 56016 = × × 389, so it is divisible by 2.
What are the factors of 56016?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 389, 778, 1167, 1556, 2334, 3112, 3501, 4668, 6224, 7002, 9336, 14004, 18672, 28008, 56016.
What is 56016 in binary?
1101101011010000 (hexadecimal DAD0, octal 155320).
What is the square root of 56016?
About 236.6770, exactly 12√389.
Is 56016 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 56016?
56016 is a Harshad number: divisible by its digit sum 18.