A080459 Trans-Harshad numerals: base-10 numerals that represent positive Harshad numbers in every base in which they occur.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 200, 220, 300, 330, 400, 440, 500, 550, 600, 660, 700, 770, 800, 880, 900, 990, 1000, 1010, 1020, 1050, 1100, 1320, 2000, 2010, 2020, 2040, 2200, 2310, 2640, 3000, 3030, 3060, 3300, 3960

Offset

1,2

Comments

Harshad, or Niven, numbers are those that are divisible by the sum of their digits; see A005349 for base-10 Harshad numbers.

Links

Table of n, a(n) for n=1..54.

Crossrefs

Sequence in context: A302768 A202272 A180480 * A093475 A032571 A070958

Adjacent sequences: A080456 A080457 A080458 * A080460 A080461 A080462

Keyword

base,nonn

Author

Matthew Vandermast, Mar 21 2003

Status

approved