Is 0 a natural number? What is a natural number? Is 0 even? Is 0 odd~~~~~~~~

0 is also a natural number. The number that represents the number of objects is called a natural number. 0 is neither even nor odd. Historically, there have been two views on whether 0 is a natural number: one is that 0 is a natural number, the other is that 0 is not a natural number

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1. There are 20 natural numbers, the sum of which is 1999. In these numbers, the number of odd numbers is more than that of even numbers, so how many even numbers are there at most?
2. The sum of 100 natural numbers is 10000. In these numbers, the number of odd numbers is more than that of even numbers. Then, the number of odd numbers is at most 10000______ An even number
3. There are 20 natural numbers, among which the odd number is more than the even number, and the sum of them is 100. How many of these 20 natural numbers are even at least?
4. Prime numbers within 20 are______ The total number within 20 is______ The odd numbers within 20 are______ Even numbers within 20 have______ ．
5. All multiples of 17 in natural numbers are even, even and odd, even and even In natural numbers, all multiples of 17 are even numbers, even numbers and odd numbers, and even numbers
6. There are 100 natural numbers that are not zero. The sum of them is 2003. In these numbers, the number of odd numbers is more than that of even numbers. How many even numbers are there?
7. The sum of 100 natural numbers is 10000. In these numbers, the number of odd numbers is more than that of even numbers. Then, the number of odd numbers is at most 10000______ An even number
8. There are 100 natural numbers, the sum of which is 2010. In these numbers, the number of odd numbers is less than that of even numbers. How many of these numbers are there at least?
9. The greatest common divisor of two natural numbers is 6 and the least common multiple is 540
10. Given that the product of two natural numbers is 540, their greatest common divisor is 6, then their least common multiple is______ ．
11. If a is used to represent non-zero natural number, then even number can be expressed as () and odd number ()
12. If one of the three consecutive odd numbers is 2n + 1, then the sum of the three odd numbers is 2n + 1______ ．
13. If n is used to represent a natural number greater than a, then "2n - 1" must be odd
14. When n is a natural number, 2n + 1 must be odd, right?
15. Divide natural number into odd number and even number according to (). How to fill in brackets
16. If n is a natural number, what does 2n + 1 represent? A, even number B, odd number C, prime number d, composite number
17. Prove inequality 3 ^ n ≥ n ^ 3 (n ≥ 3) RT It's better not to use derivatives N is a positive integer
18. A difficult problem of inequality, please provide some ideas to prove (2 / 1 ^ 4 + 1) (2 / 2 ^ 4 + 1) (2 / 3 ^ 4 + 1) (2/n^4+1)
19. Prove inequality: (2-1) / (2 ^ 2-1) + (2 ^ 2-1) / (2 ^ 3-1) +. + (2 ^ n-1) / (2 ^ n + 1) - 1) > n / 2-1 / 3
20. It is proved by mathematical induction that when there is always 2 ^ n > n ^ 3 for a large enough natural number n, the first value no should be the minimum when the first step inequality is established