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5680275700 = 225211311571061
BaseRepresentation
bin1010100101001001…
…00010000011110100
3112122212102220101111
411102210202003310
543113122310300
62335352004404
7260522355361
oct52244420364
915585386344
105680275700
112455405230
121126390704
136c6a831a8
143bc583468
15233a2e9ba
hex1529220f4

5680275700 has 144 divisors (see below), whose sum is σ = 13982105088. Its totient is φ = 1984320000.

The previous prime is 5680275677. The next prime is 5680275719. The reversal of 5680275700 is 75720865.

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 47 ways as a sum of consecutive naturals, for example, 5353170 + ... + 5354230.

It is an arithmetic number, because the mean of its divisors is an integer number (97097952).

Almost surely, 25680275700 is an apocalyptic number.

5680275700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5680275700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991052544).

5680275700 is an abundant number, since it is smaller than the sum of its proper divisors (8301829388).

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

5680275700 is a wasteful number, since it uses less digits than its factorization.

5680275700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 5680275700 is about 75367.6037830579. The cubic root of 5680275700 is about 1784.2531484192.

The spelling of 5680275700 in words is "five billion, six hundred eighty million, two hundred seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 157 220 275 310 314 341 550 620 628 682 775 785 1061 1100 1364 1550 1570 1705 1727 2122 3100 3140 3410 3454 3925 4244 4867 5305 6820 6908 7850 8525 8635 9734 10610 11671 15700 17050 17270 19468 21220 23342 24335 26525 32891 34100 34540 43175 46684 48670 53050 53537 58355 65782 86350 97340 106100 107074 116710 121675 131564 164455 166577 172700 214148 233420 243350 267685 291775 328910 333154 361801 486700 535370 583550 657820 666308 723602 822275 832885 1070740 1167100 1338425 1447204 1644550 1665770 1809005 1832347 2676850 3289100 3331540 3618010 3664694 4164425 5163887 5353700 7236020 7329388 8328850 9045025 9161735 10327774 16657700 18090050 18323470 20655548 25819435 36180100 36646940 45808675 51638870 56802757 91617350 103277740 113605514 129097175 183234700 227211028 258194350 284013785 516388700 568027570 1136055140 1420068925 2840137850 5680275700