The number 67440
67440 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 281. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 67440.
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How to work it out
- 1
67440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67440 is composite. Its prime factorisation is
- 3
The divisors add up to 209808; without 67440 itself that is 142368, so 67440 is abundant (142368 is more than 67440). Euler's totient φ(67440) = 17920 numbers up to 67440 share no factor with it.
- 4
The digits of 67440 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67440 = 2^{4} \times 3 \times 5 \times 281 \]67440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 209808 |
| Euler totient φ(n) | 17920 |
| Square | 4548153600 |
| Cube | 306727478784000 |
| Square root | 259.692125 (= 4√4215) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.744 × |
67440 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and forty |
| Binary (base 2) | 10000011101110000 |
| Octal (base 8) | 203560 |
| Hexadecimal (base 16) | 10770 |
| Base 3 | 10102111210 |
| As time | 67440 seconds = 18 h 44 min 0 s |
Is 67440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67440 ÷ 2 = 33720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67440 ÷ 3 = 22480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67440 ÷ 4 = 16860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67440 ÷ 5 = 13488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67440 ÷ 6 = 11240) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (67440 ÷ 8 = 8430) | 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 (67440 ÷ 10 = 6744) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67440 ÷ 12 = 5620) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67440 a prime number?
No. 67440 = × 3 × 5 × 281, so it is divisible by 2.
What are the factors of 67440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 281, 562, 843, 1124, 1405, 1686, 2248, 2810, 3372, 4215, 4496, 5620, 6744, 8430, 11240, 13488, 16860, 22480, 33720, 67440.
What is 67440 in binary?
10000011101110000 (hexadecimal 10770, octal 203560).
What is the square root of 67440?
About 259.6921, exactly 4√4215.
Is 67440 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67440?
It is a composite number with 40 divisors.