The number 60720
60720 is a composite number with 80 divisors. Its prime factorisation is × 3 × 5 × 11 × 23. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 23, 24 … 60720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60720: a Harshad number: divisible by its digit sum 15.
- 2
60720 is composite. Its prime factorisation is
- 3
The divisors add up to 214272; without 60720 itself that is 153552, so 60720 is abundant (153552 is more than 60720). Euler's totient φ(60720) = 14080 numbers up to 60720 share no factor with it.
- 4
The digits of 60720 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60720 = 2^{4} \times 3 \times 5 \times 11 \times 23 \]60720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 214272 |
| Euler totient φ(n) | 14080 |
| Square | 3686918400 |
| Cube | 223869685248000 |
| Square root | 246.414285 (= 4√3795) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.072 × |
60720 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and twenty |
| Binary (base 2) | 1110110100110000 |
| Octal (base 8) | 166460 |
| Hexadecimal (base 16) | ED30 |
| Base 3 | 10002021220 |
| As time | 60720 seconds = 16 h 52 min 0 s |
Is 60720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60720 ÷ 2 = 30360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60720 ÷ 3 = 20240) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60720 ÷ 4 = 15180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60720 ÷ 5 = 12144) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60720 ÷ 6 = 10120) | 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 (60720 ÷ 8 = 7590) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60720 ÷ 10 = 6072) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (60720 ÷ 11 = 5520) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60720 ÷ 12 = 5060) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60720 a prime number?
No. 60720 = × 3 × 5 × 11 × 23, so it is divisible by 2.
What are the factors of 60720?
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 23, 24, 30, 33, 40, 44, 46, 48, 55, 60, 66, 69, 80, 88, 92, 110, 115, 120, 132, 138, 165, 176, 184, 220, 230, 240, 253, 264, 276, 330, 345, 368, 440, 460, 506, 528, 552, 660, 690, 759, 880, 920, 1012, 1104, 1265, 1320, 1380, 1518, 1840, 2024, 2530, 2640, 2760, 3036, 3795, 4048, 5060, 5520, 6072, 7590, 10120, 12144, 15180, 20240, 30360, 60720.
What is 60720 in binary?
1110110100110000 (hexadecimal ED30, octal 166460).
What is the square root of 60720?
About 246.4143, exactly 4√3795.
Is 60720 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60720?
60720 is a Harshad number: divisible by its digit sum 15.