Recursiva, 20 18 bytes

smBa++'%'Va'a:0!a'

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Explanation:

smBa++'%'Va'a:0!a' - Input to a; 20
s                    - sum up; 42
 m                   - map with; [1, 0, 3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15]
  Ba                 - Range; [1,2..20]
    ++'%'Va'a:0!a'   - function, evaluates to 0 if param cannot divide a i.e. 20