The number 67890
67890 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 31 × 73. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 73, 93, 146, 155, 186, 219 … 67890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67890: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 30.
- 2
67890 is composite. Its prime factorisation is
- 3
The divisors add up to 170496; without 67890 itself that is 102606, so 67890 is abundant (102606 is more than 67890). Euler's totient φ(67890) = 17280 numbers up to 67890 share no factor with it.
- 4
The digits of 67890 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67890 = 2 \times 3 \times 5 \times 31 \times 73 \]
67890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 170496 |
| Euler totient φ(n) | 17280 |
| Square | 4609052100 |
| Cube | 312908547069000 |
| Square root | 260.557095 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.789 × |
67890 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and ninety |
| Binary (base 2) | 10000100100110010 |
| Octal (base 8) | 204462 |
| Hexadecimal (base 16) | 10932 |
| Base 3 | 10110010110 |
| As time | 67890 seconds = 18 h 51 min 30 s |
Is 67890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67890 ÷ 2 = 33945) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67890 ÷ 3 = 22630) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67890 ÷ 5 = 13578) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67890 ÷ 6 = 11315) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67890 ÷ 10 = 6789) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67890 a prime number?
No. 67890 = 2 × 3 × 5 × 31 × 73, so it is divisible by 2.
What are the factors of 67890?
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 73, 93, 146, 155, 186, 219, 310, 365, 438, 465, 730, 930, 1095, 2190, 2263, 4526, 6789, 11315, 13578, 22630, 33945, 67890.
What is 67890 in binary?
10000100100110010 (hexadecimal 10932, octal 204462).
What is the square root of 67890?
About 260.5571.
Is 67890 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67890?
67890 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 30.