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820146204 = 223231771867
BaseRepresentation
bin110000111000100…
…111000000011100
32010011020202002100
4300320213000130
53134424134304
6213214325100
726216061543
oct6070470034
92104222070
10820146204
11390a50a89
121aa7b9790
13100bb7a17
147acd115a
154c006439
hex30e2701c

820146204 has 36 divisors (see below), whose sum is σ = 2079716184. Its totient is φ = 272515872.

The previous prime is 820146179. The next prime is 820146227. The reversal of 820146204 is 402641028.

820146204 is a `hidden beast` number, since 8 + 20 + 14 + 620 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24522 + ... + 47345.

It is an arithmetic number, because the mean of its divisors is an integer number (57769894).

Almost surely, 2820146204 is an apocalyptic number.

It is an amenable number.

820146204 is an abundant number, since it is smaller than the sum of its proper divisors (1259569980).

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

820146204 is a wasteful number, since it uses less digits than its factorization.

820146204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72194 (or 72189 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 820146204 is about 28638.1948453460. The cubic root of 820146204 is about 936.0457872627.

The spelling of 820146204 in words is "eight hundred twenty million, one hundred forty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 11412 71867 143734 215601 287468 431202 646803 862404 1293606 2587212 22781839 45563678 68345517 91127356 136691034 205036551 273382068 410073102 820146204