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668245380 = 2235111576449
BaseRepresentation
bin100111110101001…
…001110110000100
31201120102101022220
4213311021312010
52332032323010
6150150452340
722362664155
oct4765116604
91646371286
10668245380
11313230710
121679640b0
13a85a188a
1464a6d92c
153d9ed970
hex27d49d84

668245380 has 96 divisors (see below), whose sum is σ = 2054505600. Its totient is φ = 160942080.

The previous prime is 668245379. The next prime is 668245411. The reversal of 668245380 is 83542866.

668245380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100396 + ... + 106844.

It is an arithmetic number, because the mean of its divisors is an integer number (21401100).

Almost surely, 2668245380 is an apocalyptic number.

668245380 is a gapful number since it is divisible by the number (60) 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 668245380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027252800).

668245380 is an abundant number, since it is smaller than the sum of its proper divisors (1386260220).

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

668245380 is a wasteful number, since it uses less digits than its factorization.

668245380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 668245380 is about 25850.4425494033. The cubic root of 668245380 is about 874.2694877010.

The spelling of 668245380 in words is "six hundred sixty-eight million, two hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6449 6908 8635 9420 10362 12898 17270 19347 20724 25796 25905 32245 34540 38694 51810 64490 70939 77388 96735 103620 128980 141878 193470 212817 283756 354695 386940 425634 709390 851268 1012493 1064085 1418780 2024986 2128170 3037479 4049972 4256340 5062465 6074958 10124930 11137423 12149916 15187395 20249860 22274846 30374790 33412269 44549692 55687115 60749580 66824538 111374230 133649076 167061345 222748460 334122690 668245380