Heronian triangles in a range

How many (not necessarily primitive) Heronian triangles with sides a, b and c, and area in the range [10000000,10001000], are there? Answer format: count,∑a_i,∑b_i,∑c_i where a_i ≤ b_i ≤ c_i Example:26,203,431,520 in the range [0,100] [My timing: <1m]