The number 60760
60760 is a composite number with 48 divisors. Its prime factorisation is × 5 × × 31. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 49, 56, 62 … 60760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60760 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 60760 itself that is 103400, so 60760 is abundant (103400 is more than 60760). Euler's totient φ(60760) = 20160 numbers up to 60760 share no factor with it.
- 4
The digits of 60760 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60760 = 2^{3} \times 5 \times 7^{2} \times 31 \]60760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 20160 |
| Square | 3691777600 |
| Cube | 224312406976000 |
| Square root | 246.495436 (= 14√310) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.076 × |
60760 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and sixty |
| Binary (base 2) | 1110110101011000 |
| Octal (base 8) | 166530 |
| Hexadecimal (base 16) | ED58 |
| Base 3 | 10002100101 |
| As time | 60760 seconds = 16 h 52 min 40 s |
Is 60760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60760 ÷ 2 = 30380) | 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 (60760 ÷ 4 = 15190) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60760 ÷ 5 = 12152) | 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 (60760 ÷ 7 = 8680) | 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 (60760 ÷ 8 = 7595) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60760 ÷ 10 = 6076) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60760 a prime number?
No. 60760 = × 5 × × 31, so it is divisible by 2.
What are the factors of 60760?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 49, 56, 62, 70, 98, 124, 140, 155, 196, 217, 245, 248, 280, 310, 392, 434, 490, 620, 868, 980, 1085, 1240, 1519, 1736, 1960, 2170, 3038, 4340, 6076, 7595, 8680, 12152, 15190, 30380, 60760.
What is 60760 in binary?
1110110101011000 (hexadecimal ED58, octal 166530).
What is the square root of 60760?
About 246.4954, exactly 14√310.
Is 60760 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60760?
It is a composite number with 48 divisors.