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820098411 = 311171461851
BaseRepresentation
bin110000111000011…
…011010101101011
32010011011022112020
4300320123111223
53134421122121
6213213315523
726215502316
oct6070332553
92104138466
10820098411
11390a19090
121aa795ba3
13100b9c042
147acbb97d
154bee71c6
hex30e1b56b

820098411 has 16 divisors (see below), whose sum is σ = 1263040128. Its totient is φ = 467792000.

The previous prime is 820098371. The next prime is 820098427. The reversal of 820098411 is 114890028.

It is a cyclic number.

It is not a de Polignac number, because 820098411 - 29 = 820097899 is a prime.

It is a super-2 number, since 2×8200984112 = 1345122807449449842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (820098011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730365 + ... + 731486.

It is an arithmetic number, because the mean of its divisors is an integer number (78940008).

Almost surely, 2820098411 is an apocalyptic number.

820098411 is a deficient number, since it is larger than the sum of its proper divisors (442941717).

820098411 is a wasteful number, since it uses less digits than its factorization.

820098411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461882.

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 820098411 is about 28637.3604055960. The cubic root of 820098411 is about 936.0276046081.

The spelling of 820098411 in words is "eight hundred twenty million, ninety-eight thousand, four hundred eleven".

Divisors: 1 3 11 17 33 51 187 561 1461851 4385553 16080361 24851467 48241083 74554401 273366137 820098411