The number 10180
10180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 509. Divisors (12): 1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10180: a Harshad number: divisible by its digit sum 10.
- 2
10180 is composite. Its prime factorisation is
- 3
The divisors add up to 21420; without 10180 itself that is 11240, so 10180 is abundant (11240 is more than 10180). Euler's totient φ(10180) = 4064 numbers up to 10180 share no factor with it.
- 4
The digits of 10180 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10180 = 2^{2} \times 5 \times 509 \]10180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21420 |
| Euler totient φ(n) | 4064 |
| Square | 103632400 |
| Cube | 1054977832000 |
| Square root | 100.895986 (= 2√2545) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.018 × |
10180 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and eighty |
| Binary (base 2) | 10011111000100 |
| Octal (base 8) | 23704 |
| Hexadecimal (base 16) | 27C4 |
| Base 3 | 111222001 |
| As time | 10180 seconds = 2 h 49 min 40 s |
Is 10180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10180 ÷ 2 = 5090) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10180 ÷ 4 = 2545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10180 ÷ 5 = 2036) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10180 ÷ 10 = 1018) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10180 a prime number?
No. 10180 = × 5 × 509, so it is divisible by 2.
What are the factors of 10180?
1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180.
What is 10180 in binary?
10011111000100 (hexadecimal 27C4, octal 23704).
What is the square root of 10180?
About 100.8960, exactly 2√2545.
Is 10180 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10180?
10180 is a Harshad number: divisible by its digit sum 10.