268

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Number

$268$ (two hundred and sixty-eight) is:

$2^2 \times 67$

The smallest positive integer which can be expressed as the sum of $2$ distinct lucky numbers in $16$ different ways

The $18$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $146$, $162$, $188$, $206$, $210$, $216$, $238$, $246$, $248$, $262$

The $26$th noncototient after $10$, $26$, $34$, $50$, $\ldots$, $206$, $218$, $222$, $232$, $244$, $260$, $266$:

$\nexists m \in \Z_{>0}: m - \map \phi m = 268$

where $\map \phi m$ denotes the Euler $\phi$ function

Also see

• Previous  ... Next: Smallest Sum of 2 Lucky Numbers in n Ways
• Previous  ... Next: Untouchable Number
• Previous  ... Next: Noncototient