On an asymptotic formula for the Niven numbers (Q1068875)
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scientific article; zbMATH DE number 3931101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an asymptotic formula for the Niven numbers |
scientific article; zbMATH DE number 3931101 |
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On an asymptotic formula for the Niven numbers (English)
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1985
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The positive integer n is called a Niven number, if n is divisible by its digital sum s(n). For fixed \(k\in {\mathbb{N}}\) the authors deduce the asymptotic formula \(N_ k(x)\sim c_ k \log^ k x\) \((x\to \infty)\), where \(N_ k(x):=\#\{n\in {\mathbb{N}}:\) \(n\leq x,\quad s(n)=k\) and \(s(n)| n\}.\)
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asymptotic formula
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integer divisible by digital sum
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Niven numbers
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