login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A243363 Numbers with divisors containing all the digits 0-9 and each digit appears exactly once (in base 10). 5
203457869, 203465789, 203465897, 203468579, 203475869, 203478659, 203485697, 203485769, 203495867, 203548967, 203564897, 203568947, 203574689, 203584679, 203584769, 203594687, 203596847, 203598467, 203645879, 203645987, 203648957, 203654987, 203659487, 203674589 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes made up of distinct digits except 1.

There are no composite numbers with divisors containing all the digits 0-9 and each digit appears exactly once.

Subsequence of A029743 (primes with distinct digits).

Numbers n such that A243360(n) = 9876543210.

Sequence contains 19558 terms, the last term is a(19558) = 987625403.

LINKS

Table of n, a(n) for n=1..24.

MATHEMATICA

Select[Range[203*10^6, 204*10^6], Sort[Flatten[IntegerDigits/@ Divisors[#]]] == Range[0, 9]&] (* Harvey P. Dale, Aug 22 2016 *)

PROG

(MAGMA) [n: n in [1..1000000] | Seqint(Sort(&cat[(Intseq(k)): k in Divisors(n)])) eq 9876543210]

CROSSREFS

Cf. A037278, A176558, A243360, A243361, A243362, A243364.

Sequence in context: A132205 A015427 A078249 * A273094 A226079 A034641

Adjacent sequences:  A243360 A243361 A243362 * A243364 A243365 A243366

KEYWORD

nonn,base,fini

AUTHOR

Jaroslav Krizek, Jun 04 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 06:06 EST 2019. Contains 329217 sequences. (Running on oeis4.)