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820426020 = 2235117111677
BaseRepresentation
bin110000111001101…
…011010100100100
32010011202221220220
4300321223110210
53140012113040
6213224324340
726221335411
oct6071532444
92104687826
10820426020
11391122237
121aa9136b0
13100c851ab
147ad65108
154c05e2d0
hex30e6b524

820426020 has 48 divisors (see below), whose sum is σ = 2299351488. Its totient is φ = 218574720.

The previous prime is 820425997. The next prime is 820426039. The reversal of 820426020 is 20624028.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64422 + ... + 76098.

It is an arithmetic number, because the mean of its divisors is an integer number (47903156).

Almost surely, 2820426020 is an apocalyptic number.

It is an amenable number.

820426020 is an abundant number, since it is smaller than the sum of its proper divisors (1478925468).

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

820426020 is a wasteful number, since it uses less digits than its factorization.

820426020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 820426020 is about 28643.0797925083. The cubic root of 820426020 is about 936.1522279620.

The spelling of 820426020 in words is "eight hundred twenty million, four hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1171 2342 3513 4684 5855 7026 11677 11710 14052 17565 23354 23420 35031 35130 46708 58385 70062 70260 116770 140124 175155 233540 350310 700620 13673767 27347534 41021301 54695068 68368835 82042602 136737670 164085204 205106505 273475340 410213010 820426020