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816165420 = 223571943251
BaseRepresentation
bin110000101001011…
…011001000101100
32002212202111110220
4300221123020230
53132414243140
6212553131340
726140202010
oct6051331054
92085674426
10816165420
11389782184
121a93b9b50
13100122b25
147a576540
154b9bbbd0
hex30a5b22c

816165420 has 48 divisors (see below), whose sum is σ = 2611730688. Its totient is φ = 186552000.

The previous prime is 816165409. The next prime is 816165443. The reversal of 816165420 is 24561618.

It is a super-2 number, since 2×8161654202 = 1332251985607552800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 971206 + ... + 972045.

It is an arithmetic number, because the mean of its divisors is an integer number (54411056).

Almost surely, 2816165420 is an apocalyptic number.

It is an amenable number.

816165420 is an abundant number, since it is smaller than the sum of its proper divisors (1795565268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

816165420 is a wasteful number, since it uses less digits than its factorization.

816165420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943270 (or 1943268 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 816165420 is about 28568.6089965892. The cubic root of 816165420 is about 934.5288865531.

The spelling of 816165420 in words is "eight hundred sixteen million, one hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1943251 3886502 5829753 7773004 9716255 11659506 13602757 19432510 23319012 27205514 29148765 38865020 40808271 54411028 58297530 68013785 81616542 116595060 136027570 163233084 204041355 272055140 408082710 816165420