The number 60480
60480 is a composite number with 112 divisors. Its prime factorisation is × × 5 × 7. Divisors (112): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20 … 60480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60480: a Harshad number: divisible by its digit sum 18.
- 2
60480 is composite. Its prime factorisation is
- 3
The divisors add up to 243840; without 60480 itself that is 183360, so 60480 is abundant (183360 is more than 60480). Euler's totient φ(60480) = 13824 numbers up to 60480 share no factor with it.
- 4
The digits of 60480 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60480 = 2^{6} \times 3^{3} \times 5 \times 7 \]60480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 112 |
| Sum of divisors | 243840 |
| Euler totient φ(n) | 13824 |
| Square | 3657830400 |
| Cube | 221225582592000 |
| Square root | 245.926818 (= 24√105) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.048 × |
60480 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and eighty |
| Binary (base 2) | 1110110001000000 |
| Octal (base 8) | 166100 |
| Hexadecimal (base 16) | EC40 |
| Base 3 | 10001222000 |
| As time | 60480 seconds = 16 h 48 min 0 s |
Is 60480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60480 ÷ 2 = 30240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60480 ÷ 3 = 20160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60480 ÷ 4 = 15120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60480 ÷ 5 = 12096) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60480 ÷ 6 = 10080) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60480 ÷ 7 = 8640) | 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 (60480 ÷ 8 = 7560) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60480 ÷ 9 = 6720) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60480 ÷ 10 = 6048) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60480 ÷ 12 = 5040) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60480 a prime number?
No. 60480 = × × 5 × 7, so it is divisible by 2.
What are the factors of 60480?
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 64, 70, 72, 80, 84, 90, 96, 105, 108, 112, 120, 126, 135, 140, 144, 160, 168, 180, 189, 192, 210, 216, 224, 240, 252, 270, 280, 288, 315, 320, 336, 360, 378, 420, 432, 448, 480, 504, 540, 560, 576, 630, 672, 720, 756, 840, 864, 945, 960, 1008, 1080, 1120, 1260, 1344, 1440, 1512, 1680, 1728, 1890, 2016, 2160, 2240, 2520, 2880, 3024, 3360, 3780, 4032, 4320, 5040, 6048, 6720, 7560, 8640, 10080, 12096, 15120, 20160, 30240, 60480.
What is 60480 in binary?
1110110001000000 (hexadecimal EC40, octal 166100).
What is the square root of 60480?
About 245.9268, exactly 24√105.
Is 60480 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60480?
60480 is a Harshad number: divisible by its digit sum 18.