Question 113
Find all positive integer solutions to the equation
$$
2^a + 2^b + 2^c + 2^d = 60 \cdot \min\{a, b, c, d\},
$$
where $\min\{a, b, c, d\}$ denotes the minimum of the numbers $a, b, c, d$.
$$
2^a + 2^b + 2^c + 2^d = 60 \cdot \min\{a, b, c, d\},
$$
where $\min\{a, b, c, d\}$ denotes the minimum of the numbers $a, b, c, d$.