Question 23
A two-digit natural number $n$ is given. If we add the next three consecutive natural numbers that follow the number $n$, we obtain a two-digit number which has the same digits as the number $n$. How many positive divisors does the number $n$ have?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8