The number 60640
60640 is a composite number with 24 divisors. Its prime factorisation is × 5 × 379. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 379, 758, 1516, 1895 … 60640.
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How to work it out
- 1
What is special about 60640: a Harshad number: divisible by its digit sum 16.
- 2
60640 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 60640 itself that is 83000, so 60640 is abundant (83000 is more than 60640). Euler's totient φ(60640) = 24192 numbers up to 60640 share no factor with it.
- 4
The digits of 60640 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60640 = 2^{5} \times 5 \times 379 \]60640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 24192 |
| Square | 3677209600 |
| Cube | 222985990144000 |
| Square root | 246.251904 (= 4√3790) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.064 × |
60640 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand six hundred and forty |
| Binary (base 2) | 1110110011100000 |
| Octal (base 8) | 166340 |
| Hexadecimal (base 16) | ECE0 |
| Base 3 | 10002011221 |
| As time | 60640 seconds = 16 h 50 min 40 s |
Is 60640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60640 ÷ 2 = 30320) | 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 (60640 ÷ 4 = 15160) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60640 ÷ 5 = 12128) | 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 | No (remainder 6) | 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 (60640 ÷ 8 = 7580) | 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 (60640 ÷ 10 = 6064) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 60640 a prime number?
No. 60640 = × 5 × 379, so it is divisible by 2.
What are the factors of 60640?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 379, 758, 1516, 1895, 3032, 3790, 6064, 7580, 12128, 15160, 30320, 60640.
What is 60640 in binary?
1110110011100000 (hexadecimal ECE0, octal 166340).
What is the square root of 60640?
About 246.2519, exactly 4√3790.
Is 60640 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 60640?
60640 is a Harshad number: divisible by its digit sum 16.