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1680564192 = 25317505877
BaseRepresentation
bin110010000101011…
…0101111111100000
311100010021111200020
41210022311333200
511420211023232
6434432153440
756434363026
oct14412657740
94303244606
101680564192
117926a882a
123aa998880
1320a232ba8
1411d2a6716
159c814e2c
hex642b5fe0

1680564192 has 24 divisors (see below), whose sum is σ = 4411481256. Its totient is φ = 560188032.

The previous prime is 1680564187. The next prime is 1680564229. The reversal of 1680564192 is 2914650861.

1680564192 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×16805641922 = 5648592006865225728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8752843 + ... + 8753034.

It is an arithmetic number, because the mean of its divisors is an integer number (183811719).

Almost surely, 21680564192 is an apocalyptic number.

1680564192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1680564192 is an abundant number, since it is smaller than the sum of its proper divisors (2730917064).

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

1680564192 is a wasteful number, since it uses less digits than its factorization.

1680564192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17505890 (or 17505882 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1680564192 is about 40994.6849237801. The cubic root of 1680564192 is about 1188.9174515797.

The spelling of 1680564192 in words is "one billion, six hundred eighty million, five hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 17505877 35011754 52517631 70023508 105035262 140047016 210070524 280094032 420141048 560188064 840282096 1680564192