The number 60200
60200 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 43. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 43, 50, 56 … 60200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60200: a Harshad number: divisible by its digit sum 8.
- 2
60200 is composite. Its prime factorisation is
- 3
The divisors add up to 163680; without 60200 itself that is 103480, so 60200 is abundant (103480 is more than 60200). Euler's totient φ(60200) = 20160 numbers up to 60200 share no factor with it.
- 4
The digits of 60200 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60200 = 2^{3} \times 5^{2} \times 7 \times 43 \]60200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 163680 |
| Euler totient φ(n) | 20160 |
| Square | 3624040000 |
| Cube | 218167208000000 |
| Square root | 245.356883 (= 10√602) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.02 × |
60200 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand two hundred |
| Binary (base 2) | 1110101100101000 |
| Octal (base 8) | 165450 |
| Hexadecimal (base 16) | EB28 |
| Base 3 | 10001120122 |
| As time | 60200 seconds = 16 h 43 min 20 s |
Is 60200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60200 ÷ 2 = 30100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60200 ÷ 4 = 15050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60200 ÷ 5 = 12040) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60200 ÷ 7 = 8600) | 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 (60200 ÷ 8 = 7525) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60200 ÷ 10 = 6020) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60200 a prime number?
No. 60200 = × × 7 × 43, so it is divisible by 2.
What are the factors of 60200?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 43, 50, 56, 70, 86, 100, 140, 172, 175, 200, 215, 280, 301, 344, 350, 430, 602, 700, 860, 1075, 1204, 1400, 1505, 1720, 2150, 2408, 3010, 4300, 6020, 7525, 8600, 12040, 15050, 30100, 60200.
What is 60200 in binary?
1110101100101000 (hexadecimal EB28, octal 165450).
What is the square root of 60200?
About 245.3569, exactly 10√602.
Is 60200 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 60200?
60200 is a Harshad number: divisible by its digit sum 8.