The number 60240
60240 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 251. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 60240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60240: a Harshad number: divisible by its digit sum 12.
- 2
60240 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 60240 itself that is 127248, so 60240 is abundant (127248 is more than 60240). Euler's totient φ(60240) = 16000 numbers up to 60240 share no factor with it.
- 4
The digits of 60240 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60240 = 2^{4} \times 3 \times 5 \times 251 \]60240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 16000 |
| Square | 3628857600 |
| Cube | 218602381824000 |
| Square root | 245.438383 (= 4√3765) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.024 × |
60240 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand two hundred and forty |
| Binary (base 2) | 1110101101010000 |
| Octal (base 8) | 165520 |
| Hexadecimal (base 16) | EB50 |
| Base 3 | 10001122010 |
| As time | 60240 seconds = 16 h 44 min 0 s |
Is 60240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60240 ÷ 2 = 30120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60240 ÷ 3 = 20080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60240 ÷ 4 = 15060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60240 ÷ 5 = 12048) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60240 ÷ 6 = 10040) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (60240 ÷ 8 = 7530) | 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 (60240 ÷ 10 = 6024) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60240 ÷ 12 = 5020) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60240 a prime number?
No. 60240 = × 3 × 5 × 251, so it is divisible by 2.
What are the factors of 60240?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 251, 502, 753, 1004, 1255, 1506, 2008, 2510, 3012, 3765, 4016, 5020, 6024, 7530, 10040, 12048, 15060, 20080, 30120, 60240.
What is 60240 in binary?
1110101101010000 (hexadecimal EB50, octal 165520).
What is the square root of 60240?
About 245.4384, exactly 4√3765.
Is 60240 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 60240?
60240 is a Harshad number: divisible by its digit sum 12.