The number 68400
68400 is a composite number with 90 divisors. Its prime factorisation is × × × 19. Divisors (90): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24 … 68400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 68400: a Harshad number: divisible by its digit sum 18.
- 2
68400 is composite. Its prime factorisation is
- 3
The divisors add up to 249860; without 68400 itself that is 181460, so 68400 is abundant (181460 is more than 68400). Euler's totient φ(68400) = 17280 numbers up to 68400 share no factor with it.
- 4
The digits of 68400 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68400 = 2^{4} \times 3^{2} \times 5^{2} \times 19 \]68400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 90 |
| Sum of divisors | 249860 |
| Euler totient φ(n) | 17280 |
| Square | 4678560000 |
| Cube | 320013504000000 |
| Square root | 261.533937 (= 60√19) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.84 × |
68400 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand four hundred |
| Binary (base 2) | 10000101100110000 |
| Octal (base 8) | 205460 |
| Hexadecimal (base 16) | 10B30 |
| Base 3 | 10110211100 |
| As time | 68400 seconds = 19 h 0 min 0 s |
Is 68400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68400 ÷ 2 = 34200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68400 ÷ 3 = 22800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (68400 ÷ 4 = 17100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (68400 ÷ 5 = 13680) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (68400 ÷ 6 = 11400) | 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 (68400 ÷ 8 = 8550) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (68400 ÷ 9 = 7600) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (68400 ÷ 10 = 6840) | 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 (68400 ÷ 12 = 5700) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 68400 a prime number?
No. 68400 = × × × 19, so it is divisible by 2.
What are the factors of 68400?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 25, 30, 36, 38, 40, 45, 48, 50, 57, 60, 72, 75, 76, 80, 90, 95, 100, 114, 120, 144, 150, 152, 171, 180, 190, 200, 225, 228, 240, 285, 300, 304, 342, 360, 380, 400, 450, 456, 475, 570, 600, 684, 720, 760, 855, 900, 912, 950, 1140, 1200, 1368, 1425, 1520, 1710, 1800, 1900, 2280, 2736, 2850, 3420, 3600, 3800, 4275, 4560, 5700, 6840, 7600, 8550, 11400, 13680, 17100, 22800, 34200, 68400.
What is 68400 in binary?
10000101100110000 (hexadecimal 10B30, octal 205460).
What is the square root of 68400?
About 261.5339, exactly 60√19.
Is 68400 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 68400?
68400 is a Harshad number: divisible by its digit sum 18.