A247080 Numbers whose Euler totient is the reverse of the sum of its aliquot parts.

2, 735, 7665, 11505, 42630, 64578, 3440409, 11263073973

Offset

1,1

Comments

Value of x such that phi(x) = Rev(sigma(x) - x).

a(9) > 2*10^11. - Hiroaki Yamanouchi, Nov 22 2014

a(9) > 10^13. - Giovanni Resta, Aug 26 2019

Links

Table of n, a(n) for n=1..8.

Example

phi(2) = 1 and sigma(2) - 2 = 1.
phi(735) = 336 and sigma(735) - 735 = 633.
phi(7665) = 3456 and sigma(7665) - 7665 = 6543.

Maple

with(numtheory): T:=proc(w) local x, y, z; x:=w; y:=0;
for z from 1 to ilog10(x)+1 do
y:=10*y+(x mod 10); x:=trunc(x/10); od; y; end:
P:=proc(q) local n; for n from 1 to q do
if phi(n)=T(sigma(n)-n) then print(n); fi; od; end: P(10^9);

Mathematica

Select[Range[10^6], EulerPhi[#] == FromDigits[Reverse[IntegerDigits[DivisorSigma[1, #] - #]]] &] (* Michael De Vlieger, Jan 29 2015 *)

Prog

(PARI) rev(n) = subst(Polrev(digits(n)), x, 10);
isok(n) = rev(sigma(n)-n) == eulerphi(n); \\ Michel Marcus, Jan 29 2015

Crossrefs

Cf. A000010, A001065, A069225, A254320.

Sequence in context: A375956 A151591 A252986 * A145124 A102969 A179960

Adjacent sequences: A247077 A247078 A247079 * A247081 A247082 A247083

Keyword

nonn,base,more

Author

Paolo P. Lava, Nov 17 2014

Extensions

a(7)-a(8) from Hiroaki Yamanouchi, Nov 22 2014

Status

approved