Algorithms and Data Structures

  • Profound Academy

    • Status
      • 1
        Implementation
      • 2
        Bitwise operations
      • 3
        Prefix Sums
      • 4
        Sliding window / Two pointers
      • 5
        Modular Arithmetic
      • 6
        Number Theory
      • 7
        Binary Search
      • 8
        Basic Sorting
      • 9
        Greedy Algorithms
      • 10
        Basic Dynamic Programming
      • 11
        Recursion
      • 12
        Linked LIst
      • 13
        Queue & Stack
      • 14
        Binary tree + BST
      • 15
        Divide & Conquer + Advanced Sorting
      • 16
        Heap
      • 17
        Hashing
      • 18
        Graph Representation
      • 19
        BFS

    • Number of divisors

    Given a positive integer n, you are asked to calculate the number of divisors of n (including 1 and n itself).

    Input

    The first line of the input contains a single integer n (2 ≤ n ≤ ).

    Output

    The program should print the number of divisors of n.

    Examples

    Input
    Output
    8
    4
    17
    2
    2048
    12

    Explanation

    8: 1, 2, 4, 8
    17: 1, 17 (17 is a prime number)
    2048: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 (a power of 2 is only divisible by ALL the powers of 2 smaller than or equal to itself)
     

    Constraints

    Time limit: 1 seconds

    Memory limit: 512 MB

    Output limit: 1 MB

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