The number 60320
60320 is a composite number with 48 divisors. Its prime factorisation is × 5 × 13 × 29. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 29, 32, 40, 52, 58, 65 … 60320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60320: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60320 is composite. Its prime factorisation is
- 3
The divisors add up to 158760; without 60320 itself that is 98440, so 60320 is abundant (98440 is more than 60320). Euler's totient φ(60320) = 21504 numbers up to 60320 share no factor with it.
- 4
The digits of 60320 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60320 = 2^{5} \times 5 \times 13 \times 29 \]60320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 158760 |
| Euler totient φ(n) | 21504 |
| Square | 3638502400 |
| Cube | 219474464768000 |
| Square root | 245.601303 (= 4√3770) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.032 × |
60320 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and twenty |
| Binary (base 2) | 1110101110100000 |
| Octal (base 8) | 165640 |
| Hexadecimal (base 16) | EBA0 |
| Base 3 | 10001202002 |
| As time | 60320 seconds = 16 h 45 min 20 s |
Is 60320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60320 ÷ 2 = 30160) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60320 ÷ 4 = 15080) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60320 ÷ 5 = 12064) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (60320 ÷ 8 = 7540) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60320 ÷ 10 = 6032) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60320 a prime number?
No. 60320 = × 5 × 13 × 29, so it is divisible by 2.
What are the factors of 60320?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 29, 32, 40, 52, 58, 65, 80, 104, 116, 130, 145, 160, 208, 232, 260, 290, 377, 416, 464, 520, 580, 754, 928, 1040, 1160, 1508, 1885, 2080, 2320, 3016, 3770, 4640, 6032, 7540, 12064, 15080, 30160, 60320.
What is 60320 in binary?
1110101110100000 (hexadecimal EBA0, octal 165640).
What is the square root of 60320?
About 245.6013, exactly 4√3770.
Is 60320 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 60320?
60320 is a happy number: repeatedly adding the squares of its digits reaches 1.