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680318880 = 25351417331
BaseRepresentation
bin101000100011001…
…101011110100000
31202102010210001120
4220203031132200
52343130201010
6151301332240
722600420653
oct5043153640
91672123046
10680318880
1131a02770a
1216ba07080
13aac3b167
14664d389a
153ead5e70
hex288cd7a0

680318880 has 48 divisors (see below), whose sum is σ = 2143005984. Its totient is φ = 181418240.

The previous prime is 680318833. The next prime is 680318893. The reversal of 680318880 is 88813086.

It is a happy number.

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

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, 708186 + ... + 709145.

It is an arithmetic number, because the mean of its divisors is an integer number (44645958).

Almost surely, 2680318880 is an apocalyptic number.

680318880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680318880 is an abundant number, since it is smaller than the sum of its proper divisors (1462687104).

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

680318880 is a wasteful number, since it uses less digits than its factorization.

680318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417349 (or 1417341 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 680318880 is about 26082.9231490644. The cubic root of 680318880 is about 879.5033699161.

The spelling of 680318880 in words is "six hundred eighty million, three hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1417331 2834662 4251993 5669324 7086655 8503986 11338648 14173310 17007972 21259965 22677296 28346620 34015944 42519930 45354592 56693240 68031888 85039860 113386480 136063776 170079720 226772960 340159440 680318880