How can I sort du -h output by size

I need to get a list of human-readable du output.

However, du does not have a "sort by size" option, and piping to sort doesn't work with the human-readable flag.

For example, running:

du | sort -n -r 

Outputs a sorted disk usage by size (descending):

du |sort -n -r

65108   .

61508   ./dir3

2056    ./dir4

1032    ./dir1

508     ./dir2

However, running it with the human-readable flag, does not sort properly:

du -h | sort -n -r



508K    ./dir2

64M     .

61M     ./dir3

2.1M    ./dir4

1.1M    ./dir1

Does anyone know of a way to sort du -h by size?