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A111947 Admirable Harshad numbers. 3
12, 20, 24, 30, 40, 42, 54, 70, 84, 102, 114, 120, 140, 222, 224, 234, 270, 308, 364, 402, 476, 644, 1002, 1148, 1204, 1638, 1652, 2022, 2202, 2212, 3164, 3250, 3472, 4172, 6200, 7588, 8204, 8432, 8596, 9424, 10002, 10014, 10724, 10792, 11202, 11228 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

a(3)=24 because 1+2+3+4+8+12-6 = 24 and 24/6 = 4.

MATHEMATICA

harsQ[n_] := Divisible[n, Plus @@  IntegerDigits[n]]; admQ[n_] := (ab = DivisorSigma[1, n] - 2 n) > 0 && EvenQ[ab] && ab/2 < n && Divisible[n, ab/2]; Select[Range[12000], harsQ[#] && admQ[#] &] (* Amiram Eldar, Oct 27 2019 *)

CROSSREFS

Intersection of A005349 and A111592.

Cf. A111948.

Sequence in context: A332956 A204825 A111592 * A109396 A286004 A055598

Adjacent sequences:  A111944 A111945 A111946 * A111948 A111949 A111950

KEYWORD

base,nonn

AUTHOR

Jason Earls, Aug 22 2005

STATUS

approved

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Last modified April 10 11:35 EDT 2021. Contains 342845 sequences. (Running on oeis4.)