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420666705 = 32579241491
BaseRepresentation
bin11001000100101…
…101110101010001
31002022120002020100
4121010231311101
51330142313310
6105424203013
713265415354
oct3104556521
91068502210
10420666705
111a6501138
12b8a69469
13691c9314
143dc2429b
1526de6ec0
hex1912dd51

420666705 has 48 divisors (see below), whose sum is σ = 742959360. Its totient is φ = 220147200.

The previous prime is 420666703. The next prime is 420666739. The reversal of 420666705 is 507666024.

It is not a de Polignac number, because 420666705 - 21 = 420666703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420666705.

It is not an unprimeable number, because it can be changed into a prime (420666703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856510 + ... + 857000.

It is an arithmetic number, because the mean of its divisors is an integer number (15478320).

Almost surely, 2420666705 is an apocalyptic number.

420666705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420666705 is a deficient number, since it is larger than the sum of its proper divisors (322292655).

420666705 is a wasteful number, since it uses less digits than its factorization.

420666705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 420666705 is about 20510.1610183831. The cubic root of 420666705 is about 749.2832886513.

The spelling of 420666705 in words is "four hundred twenty million, six hundred sixty-six thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 79 237 241 395 491 711 723 1185 1205 1473 2169 2455 3555 3615 4419 7365 10845 19039 22095 38789 57117 95195 116367 118331 171351 193945 285585 349101 354993 581835 591655 856755 1064979 1745505 1774965 5324895 9348149 28044447 46740745 84133341 140222235 420666705