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A098121
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Harshad numbers that are also perfect powers.
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1
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1, 4, 8, 9, 27, 36, 81, 100, 144, 216, 225, 243, 324, 400, 441, 512, 576, 900, 1000, 1296, 1521, 1728, 1764, 2025, 2304, 2401, 2601, 2704, 2916, 3600, 3969, 4225, 4356, 4624, 4913, 5184, 5832, 6084, 6400, 7056, 7744, 7776, 8000, 8100, 9216, 10000, 10404
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OFFSET
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1,2
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LINKS
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EXAMPLE
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1296 is a term because 6^4 = 1296 and 1+2+9+6 = 18 and 1296/18 = 72.
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MATHEMATICA
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Select[Range[10^4], Divisible[#, Plus @@ IntegerDigits[#]] && (# == 1 || GCD @@ FactorInteger[#][[;; , 2]] > 1) &] (* Amiram Eldar, Jan 27 2021 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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