Pandigital Integer Formed by Digits in Alphabetical Order

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Theorem

The number $8 \, 549 \, 176 \, 320$ is the pandigital integer formed from the digits from $0$ to $9$ arranged in alphabetical order.


Proof

\(\displaystyle \) \(\) \(\displaystyle 8\) eight
\(\displaystyle \) \(\) \(\displaystyle 5\) five
\(\displaystyle \) \(\) \(\displaystyle 4\) four
\(\displaystyle \) \(\) \(\displaystyle 9\) nine
\(\displaystyle \) \(\) \(\displaystyle 1\) one
\(\displaystyle \) \(\) \(\displaystyle 7\) seven
\(\displaystyle \) \(\) \(\displaystyle 6\) six
\(\displaystyle \) \(\) \(\displaystyle 3\) three
\(\displaystyle \) \(\) \(\displaystyle 2\) two
\(\displaystyle \) \(\) \(\displaystyle 0\) zero

$\blacksquare$


Sources