The number 56400
56400 is a composite number with 60 divisors. Its prime factorisation is × 3 × × 47. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40 … 56400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56400: a Harshad number: divisible by its digit sum 15.
- 2
56400 is composite. Its prime factorisation is
- 3
The divisors add up to 184512; without 56400 itself that is 128112, so 56400 is abundant (128112 is more than 56400). Euler's totient φ(56400) = 14720 numbers up to 56400 share no factor with it.
- 4
The digits of 56400 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56400 = 2^{4} \times 3 \times 5^{2} \times 47 \]56400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 184512 |
| Euler totient φ(n) | 14720 |
| Square | 3180960000 |
| Cube | 179406144000000 |
| Square root | 237.486842 (= 20√141) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.64 × |
56400 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand four hundred |
| Binary (base 2) | 1101110001010000 |
| Octal (base 8) | 156120 |
| Hexadecimal (base 16) | DC50 |
| Base 3 | 2212100220 |
| As time | 56400 seconds = 15 h 40 min 0 s |
Is 56400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56400 ÷ 2 = 28200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56400 ÷ 3 = 18800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56400 ÷ 4 = 14100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (56400 ÷ 5 = 11280) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (56400 ÷ 6 = 9400) | 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 (56400 ÷ 8 = 7050) | 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 (56400 ÷ 10 = 5640) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56400 ÷ 12 = 4700) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56400 a prime number?
No. 56400 = × 3 × × 47, so it is divisible by 2.
What are the factors of 56400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 47, 48, 50, 60, 75, 80, 94, 100, 120, 141, 150, 188, 200, 235, 240, 282, 300, 376, 400, 470, 564, 600, 705, 752, 940, 1128, 1175, 1200, 1410, 1880, 2256, 2350, 2820, 3525, 3760, 4700, 5640, 7050, 9400, 11280, 14100, 18800, 28200, 56400.
What is 56400 in binary?
1101110001010000 (hexadecimal DC50, octal 156120).
What is the square root of 56400?
About 237.4868, exactly 20√141.
Is 56400 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 56400?
56400 is a Harshad number: divisible by its digit sum 15.