A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t
​
=P
0
​
⋅2
d
t
​

, where P_tP
t
​
is the population after t hours, P_0P
0
​
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 15 hours, to the nearest whole number?