<p>Let <img alt="$S=2+4+6+\cdots +2N$" height="14" src="https://latex.artofproblemsolving.com/9/1/4/914f4ce368a9718e878a763dba131770f8a1edfc.png" width="199" />, where <img alt="$N$" height="12" src="https://latex.artofproblemsolving.com/f/c/9/fc97ef67268cd4e91bacdf12b8901d7036c9a056.png" width="16" /> is the smallest positive integer such that <img alt="$S>1,000,000$" height="16" src="https://latex.artofproblemsolving.com/b/3/e/b3e78c4fccfdedbe0cfe6f069704dd85d03172e7.png" width="115" />. Then the sum of the digits of <img alt="$N$" height="12" src="https://latex.artofproblemsolving.com/f/c/9/fc97ef67268cd4e91bacdf12b8901d7036c9a056.png" width="16" /> is?</p>

Question No: 240

Let $S=2+4+6+\cdots +2N$ , where $N$ is the smallest positive integer such that $S>1,000,000$ . Then the sum of the digits of $N$ is?

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Tags: Algebra

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