The number 67470
67470 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 173. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 173, 195 … 67470.
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How to work it out
- 1
67470 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67470 is composite. Its prime factorisation is
- 3
The divisors add up to 175392; without 67470 itself that is 107922, so 67470 is abundant (107922 is more than 67470). Euler's totient φ(67470) = 16512 numbers up to 67470 share no factor with it.
- 4
The digits of 67470 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67470 = 2 \times 3 \times 5 \times 13 \times 173 \]
67470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 175392 |
| Euler totient φ(n) | 16512 |
| Square | 4552200900 |
| Cube | 307136994723000 |
| Square root | 259.749880 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.747 × |
67470 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and seventy |
| Binary (base 2) | 10000011110001110 |
| Octal (base 8) | 203616 |
| Hexadecimal (base 16) | 1078E |
| Base 3 | 10102112220 |
| As time | 67470 seconds = 18 h 44 min 30 s |
Is 67470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67470 ÷ 2 = 33735) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67470 ÷ 3 = 22490) | 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 (67470 ÷ 5 = 13494) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67470 ÷ 6 = 11245) | 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 6) | 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 (67470 ÷ 10 = 6747) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 67470 a prime number?
No. 67470 = 2 × 3 × 5 × 13 × 173, so it is divisible by 2.
What are the factors of 67470?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 173, 195, 346, 390, 519, 865, 1038, 1730, 2249, 2595, 4498, 5190, 6747, 11245, 13494, 22490, 33735, 67470.
What is 67470 in binary?
10000011110001110 (hexadecimal 1078E, octal 203616).
What is the square root of 67470?
About 259.7499.
Is 67470 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67470?
It is a composite number with 32 divisors.