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680999712 = 25359120233
BaseRepresentation
bin101000100101110…
…011101100100000
31202110102100222120
4220211303230200
52343313442322
6151324104240
722606254621
oct5045635440
91673370876
10680999712
1131a452188
12170095080
13ab119013
146662da48
153ebbca5c
hex28973b20

680999712 has 48 divisors (see below), whose sum is σ = 1817938080. Its totient is φ = 223150592.

The previous prime is 680999687. The next prime is 680999717. The reversal of 680999712 is 217999086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (680999717) by changing a digit.

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, 54453 + ... + 65780.

It is an arithmetic number, because the mean of its divisors is an integer number (37873710).

Almost surely, 2680999712 is an apocalyptic number.

It is an amenable number.

680999712 is an abundant number, since it is smaller than the sum of its proper divisors (1136938368).

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

680999712 is a wasteful number, since it uses less digits than its factorization.

680999712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120305 (or 120297 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 680999712 is about 26095.9711833072. The cubic root of 680999712 is about 879.7966610077.

The spelling of 680999712 in words is "six hundred eighty million, nine hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 120233 240466 360699 480932 721398 961864 1442796 1923728 2885592 3847456 5771184 7093747 11542368 14187494 21281241 28374988 42562482 56749976 85124964 113499952 170249928 226999904 340499856 680999712