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820090680 = 23356834089
BaseRepresentation
bin110000111000011…
…001011100111000
32010011010220220220
4300320121130320
53134420400210
6213213220040
726215440633
oct6070313470
92104126826
10820090680
11390a132a2
121aa791620
13100b98676
147acb8c1a
154bee4c70
hex30e19738

820090680 has 32 divisors (see below), whose sum is σ = 2460272400. Its totient is φ = 218690816.

The previous prime is 820090679. The next prime is 820090699. The reversal of 820090680 is 86090028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3416925 + ... + 3417164.

Almost surely, 2820090680 is an apocalyptic number.

It is an amenable number.

820090680 is an abundant number, since it is smaller than the sum of its proper divisors (1640181720).

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

820090680 is a wasteful number, since it uses less digits than its factorization.

820090680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834103 (or 6834099 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 820090680 is about 28637.2254242620. The cubic root of 820090680 is about 936.0246633139.

The spelling of 820090680 in words is "eight hundred twenty million, ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6834089 13668178 20502267 27336356 34170445 41004534 54672712 68340890 82009068 102511335 136681780 164018136 205022670 273363560 410045340 820090680