The number 20350
20350 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 37. Divisors (24): 1, 2, 5, 10, 11, 22, 25, 37, 50, 55, 74, 110, 185, 275, 370, 407 … 20350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20350: a Harshad number: divisible by its digit sum 10.
- 2
20350 is composite. Its prime factorisation is
- 3
The divisors add up to 42408; without 20350 itself that is 22058, so 20350 is abundant (22058 is more than 20350). Euler's totient φ(20350) = 7200 numbers up to 20350 share no factor with it.
- 4
The digits of 20350 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 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20350 = 2 \times 5^{2} \times 11 \times 37 \]20350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42408 |
| Euler totient φ(n) | 7200 |
| Square | 414122500 |
| Cube | 8427392875000 |
| Square root | 142.653426 (= 5√814) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 180 |
| Scientific notation | 2.035 × |
20350 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and fifty |
| Binary (base 2) | 100111101111110 |
| Octal (base 8) | 47576 |
| Hexadecimal (base 16) | 4F7E |
| Base 3 | 1000220201 |
| As time | 20350 seconds = 5 h 39 min 10 s |
Is 20350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20350 ÷ 2 = 10175) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20350 ÷ 5 = 4070) | 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 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20350 ÷ 10 = 2035) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (20350 ÷ 11 = 1850) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20350 a prime number?
No. 20350 = 2 × × 11 × 37, so it is divisible by 2.
What are the factors of 20350?
1, 2, 5, 10, 11, 22, 25, 37, 50, 55, 74, 110, 185, 275, 370, 407, 550, 814, 925, 1850, 2035, 4070, 10175, 20350.
What is 20350 in binary?
100111101111110 (hexadecimal 4F7E, octal 47576).
What is the square root of 20350?
About 142.6534, exactly 5√814.
Is 20350 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20350?
20350 is a Harshad number: divisible by its digit sum 10.