## Highly Composite Numbers

## Usage

    nextn(n, factors=c(2,3,5))

## Arguments

`n` | an integer.
`factors` | a vector of positive integer factors.

## Description

`nextn` returns the smallest integer, greater than or equal to `n`, which can be obtained as a product of powers of the values contained in `factors`. `nextn` is intended to be used to find a suitable length to zero-pad the argument of `fft` to so that the transform is computed quickly. The default value for `factors` ensures this.

## See Also

`convolve`, `fft`.

## Examples

    nextn(1001) # 1024
    table(sapply(599:630, nextn))

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