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820000412 = 227112662339
BaseRepresentation
bin110000111000000…
…011011010011100
32010010222100002122
4300320003122130
53134410003122
6213211242112
726214613520
oct6070033234
92103870078
10820000412
113909614a0
121aa749338
13100b6655a
147ac93d80
154bec8142
hex30e0369c

820000412 has 24 divisors (see below), whose sum is σ = 1789092480. Its totient is φ = 319480560.

The previous prime is 820000397. The next prime is 820000421. The reversal of 820000412 is 214000028.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1330862 + ... + 1331477.

It is an arithmetic number, because the mean of its divisors is an integer number (74545520).

Almost surely, 2820000412 is an apocalyptic number.

It is an amenable number.

820000412 is an abundant number, since it is smaller than the sum of its proper divisors (969092068).

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

820000412 is a wasteful number, since it uses less digits than its factorization.

820000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662361 (or 2662359 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 820000412 is about 28635.6493203838. The cubic root of 820000412 is about 935.9903190734.

The spelling of 820000412 in words is "eight hundred twenty million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 2662339 5324678 10649356 18636373 29285729 37272746 58571458 74545492 117142916 205000103 410000206 820000412