The number 60390
60390 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 11 × 61. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 61 … 60390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60390: a Harshad number: divisible by its digit sum 18.
- 2
60390 is composite. Its prime factorisation is
- 3
The divisors add up to 174096; without 60390 itself that is 113706, so 60390 is abundant (113706 is more than 60390). Euler's totient φ(60390) = 14400 numbers up to 60390 share no factor with it.
- 4
The digits of 60390 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60390 = 2 \times 3^{2} \times 5 \times 11 \times 61 \]60390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 174096 |
| Euler totient φ(n) | 14400 |
| Square | 3646952100 |
| Cube | 220239437319000 |
| Square root | 245.743769 (= 3√6710) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.039 × |
60390 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and ninety |
| Binary (base 2) | 1110101111100110 |
| Octal (base 8) | 165746 |
| Hexadecimal (base 16) | EBE6 |
| Base 3 | 10001211200 |
| As time | 60390 seconds = 16 h 46 min 30 s |
Is 60390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60390 ÷ 2 = 30195) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60390 ÷ 3 = 20130) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60390 ÷ 5 = 12078) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60390 ÷ 6 = 10065) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60390 ÷ 9 = 6710) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60390 ÷ 10 = 6039) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (60390 ÷ 11 = 5490) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60390 a prime number?
No. 60390 = 2 × × 5 × 11 × 61, so it is divisible by 2.
What are the factors of 60390?
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 61, 66, 90, 99, 110, 122, 165, 183, 198, 305, 330, 366, 495, 549, 610, 671, 915, 990, 1098, 1342, 1830, 2013, 2745, 3355, 4026, 5490, 6039, 6710, 10065, 12078, 20130, 30195, 60390.
What is 60390 in binary?
1110101111100110 (hexadecimal EBE6, octal 165746).
What is the square root of 60390?
About 245.7438, exactly 3√6710.
Is 60390 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60390?
60390 is a Harshad number: divisible by its digit sum 18.