The number 60090
60090 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2003. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2003, 4006, 6009, 10015, 12018, 20030, 30045, 60090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60090: a Harshad number: divisible by its digit sum 15.
- 2
60090 is composite. Its prime factorisation is
- 3
The divisors add up to 144288; without 60090 itself that is 84198, so 60090 is abundant (84198 is more than 60090). Euler's totient φ(60090) = 16016 numbers up to 60090 share no factor with it.
- 4
The digits of 60090 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60090 = 2 \times 3 \times 5 \times 2003 \]
60090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 144288 |
| Euler totient φ(n) | 16016 |
| Square | 3610808100 |
| Cube | 216973458729000 |
| Square root | 245.132617 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.009 × |
60090 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and ninety |
| Binary (base 2) | 1110101010111010 |
| Octal (base 8) | 165272 |
| Hexadecimal (base 16) | EABA |
| Base 3 | 10001102120 |
| As time | 60090 seconds = 16 h 41 min 30 s |
Is 60090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60090 ÷ 2 = 30045) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60090 ÷ 3 = 20030) | 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 (60090 ÷ 5 = 12018) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60090 ÷ 6 = 10015) | 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 | No (remainder 2) | 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 (60090 ÷ 10 = 6009) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 60090 a prime number?
No. 60090 = 2 × 3 × 5 × 2003, so it is divisible by 2.
What are the factors of 60090?
1, 2, 3, 5, 6, 10, 15, 30, 2003, 4006, 6009, 10015, 12018, 20030, 30045, 60090.
What is 60090 in binary?
1110101010111010 (hexadecimal EABA, octal 165272).
What is the square root of 60090?
About 245.1326.
Is 60090 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60090?
60090 is a Harshad number: divisible by its digit sum 15.