Find 2016

$\begin{array} { c c c c c c c } T_1 & T_3 & T_6 & T_{10} & T_{15} & T_{21} & \cdots \\ T_2 & T_5 & T_9 & T_{14} & T_{20} & T_{27} & \cdots \\ T_4 & T_8 & T_{13} & T_{19} & T_{26} & T_{34} & \cdots \\ T_7 & T_{12} & T_{18} & T_{25} & T_{33} & T_{42} &\cdots \\ T_{11} & T_{17} & T_{24} & T_{32} & T_{41} & T_{51} & \cdots \\ T_{16} & T_{23} & T_{31} & T_{40} & T_{50} & T_{61} & \cdots \\ \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \ddots \end{array}$

In the table above, $T_n= \dfrac {n(n+1)}{2}$ is the $n$ th triangular number. If 2016 lies in $c$ th column and $r$ th row, find $c+r$ .

For example: $T_9=45$ lies in column 3 and row 2, hence the answer is $2+3=5$ .