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420655585 = 5729231461
BaseRepresentation
bin11001000100101…
…011000111100001
31002022112111222111
4121010223013201
51330141434320
6105424035321
713265341060
oct3104530741
91068474874
10420655585
111a64a3849
12b8a62b41
13691c423c
143dc201d7
1526de3a5a
hex1912b1e1

420655585 has 48 divisors (see below), whose sum is σ = 618089472. Its totient is φ = 268934400.

The previous prime is 420655583. The next prime is 420655591. The reversal of 420655585 is 585556024.

420655585 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 420655585 - 21 = 420655583 is a prime.

It is a super-2 number, since 2×4206555852 = 353902242383384450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420655583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912255 + ... + 912715.

It is an arithmetic number, because the mean of its divisors is an integer number (12876864).

Almost surely, 2420655585 is an apocalyptic number.

It is an amenable number.

420655585 is a deficient number, since it is larger than the sum of its proper divisors (197433887).

420655585 is a wasteful number, since it uses less digits than its factorization.

420655585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The square root of 420655585 is about 20509.8899314453. The cubic root of 420655585 is about 749.2766863511.

The spelling of 420655585 in words is "four hundred twenty million, six hundred fifty-five thousand, five hundred eighty-five".

Divisors: 1 5 7 29 31 35 145 155 203 217 461 841 899 1015 1085 2305 3227 4205 4495 5887 6293 13369 14291 16135 26071 29435 31465 66845 71455 93583 100037 130355 182497 387701 414439 467915 500185 912485 1938505 2072195 2713907 2901073 12018731 13569535 14505365 60093655 84131117 420655585