The number 50760
50760 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 47. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30 … 50760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50760: a Harshad number: divisible by its digit sum 18.
- 2
50760 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 50760 itself that is 122040, so 50760 is abundant (122040 is more than 50760). Euler's totient φ(50760) = 13248 numbers up to 50760 share no factor with it.
- 4
The digits of 50760 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50760 = 2^{3} \times 3^{3} \times 5 \times 47 \]50760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 13248 |
| Square | 2576577600 |
| Cube | 130787078976000 |
| Square root | 225.299800 (= 6√1410) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.076 × |
50760 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and sixty |
| Binary (base 2) | 1100011001001000 |
| Octal (base 8) | 143110 |
| Hexadecimal (base 16) | C648 |
| Base 3 | 2120122000 |
| As time | 50760 seconds = 14 h 6 min 0 s |
Is 50760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50760 ÷ 2 = 25380) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50760 ÷ 3 = 16920) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50760 ÷ 4 = 12690) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50760 ÷ 5 = 10152) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50760 ÷ 6 = 8460) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (50760 ÷ 8 = 6345) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50760 ÷ 9 = 5640) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50760 ÷ 10 = 5076) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50760 ÷ 12 = 4230) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50760 a prime number?
No. 50760 = × × 5 × 47, so it is divisible by 2.
What are the factors of 50760?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 47, 54, 60, 72, 90, 94, 108, 120, 135, 141, 180, 188, 216, 235, 270, 282, 360, 376, 423, 470, 540, 564, 705, 846, 940, 1080, 1128, 1269, 1410, 1692, 1880, 2115, 2538, 2820, 3384, 4230, 5076, 5640, 6345, 8460, 10152, 12690, 16920, 25380, 50760.
What is 50760 in binary?
1100011001001000 (hexadecimal C648, octal 143110).
What is the square root of 50760?
About 225.2998, exactly 6√1410.
Is 50760 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50760?
50760 is a Harshad number: divisible by its digit sum 18.