The number 67480
67480 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 241. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 241 … 67480.
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How to work it out
- 1
67480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67480 is composite. Its prime factorisation is
- 3
The divisors add up to 174240; without 67480 itself that is 106760, so 67480 is abundant (106760 is more than 67480). Euler's totient φ(67480) = 23040 numbers up to 67480 share no factor with it.
- 4
The digits of 67480 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67480 = 2^{3} \times 5 \times 7 \times 241 \]67480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 174240 |
| Euler totient φ(n) | 23040 |
| Square | 4553550400 |
| Cube | 307273580992000 |
| Square root | 259.769128 (= 2√16870) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.748 × |
67480 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and eighty |
| Binary (base 2) | 10000011110011000 |
| Octal (base 8) | 203630 |
| Hexadecimal (base 16) | 10798 |
| Base 3 | 10102120021 |
| As time | 67480 seconds = 18 h 44 min 40 s |
Is 67480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67480 ÷ 2 = 33740) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67480 ÷ 4 = 16870) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67480 ÷ 5 = 13496) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67480 ÷ 7 = 9640) | 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 (67480 ÷ 8 = 8435) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67480 ÷ 10 = 6748) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67480 a prime number?
No. 67480 = × 5 × 7 × 241, so it is divisible by 2.
What are the factors of 67480?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 241, 280, 482, 964, 1205, 1687, 1928, 2410, 3374, 4820, 6748, 8435, 9640, 13496, 16870, 33740, 67480.
What is 67480 in binary?
10000011110011000 (hexadecimal 10798, octal 203630).
What is the square root of 67480?
About 259.7691, exactly 2√16870.
Is 67480 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67480?
It is a composite number with 32 divisors.