The sum of all the numbers greater than 10000 formed by using digits 0, 2, 4, 6, 8, no digit being repeated in any number, is equal to

Sum of all numbers greater than 10,000 using 0, 2, 4, 6, 8

sum of 5 digit numbers - sum of 5 digit numbers begin with 0

$\begin{array}{rcl}\mathrm{sum} \mathrm{of} \mathrm{numbers}& =& (5-1)!(2+4+6+8)(11, 111)-(4-1)!(2+4+6+8)(1, 111)\\ & =& 4!\left(20\right) (11, 111) - 3! \left(20\right) \left(1111\right)\\ & =& 20 \left(24\right(11, 111)-6(1111\left)\right)\\ & =& 20(266,664-6666)\\ & =& 20\left(259998\right)\\ & =& 5199960 \end{array}$