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420616503 = 331091311091
BaseRepresentation
bin11001000100100…
…001100100110111
31002022110112101000
4121010201210313
51330134212003
6105423134343
713265116116
oct3104414467
91068415330
10420616503
111a647744a
12b8a443b3
13691ac508
143dc0dc7d
1526dd71a3
hex19121937

420616503 has 32 divisors (see below), whose sum is σ = 634233600. Its totient is φ = 275464800.

The previous prime is 420616501. The next prime is 420616523. The reversal of 420616503 is 305616024.

420616503 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 1 + 650 + 3 = 666.

It is not a de Polignac number, because 420616503 - 21 = 420616501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420616501) 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 31 ways as a sum of consecutive naturals, for example, 384988 + ... + 386078.

It is an arithmetic number, because the mean of its divisors is an integer number (19819800).

Almost surely, 2420616503 is an apocalyptic number.

420616503 is a deficient number, since it is larger than the sum of its proper divisors (213617097).

420616503 is a wasteful number, since it uses less digits than its factorization.

420616503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420616503 is about 20508.9371494478. The cubic root of 420616503 is about 749.2534811928.

The spelling of 420616503 in words is "four hundred twenty million, six hundred sixteen thousand, five hundred three".

Divisors: 1 3 9 27 109 131 327 393 981 1091 1179 2943 3273 3537 9819 14279 29457 42837 118919 128511 142921 356757 385533 428763 1070271 1286289 3210813 3858867 15578389 46735167 140205501 420616503