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677113260 = 223519243727
BaseRepresentation
bin101000010110111…
…110110110101100
31202012002220202220
4220112332312230
52341320111020
6151104515340
722531240065
oct5026766654
91665086686
10677113260
1131823823a
1216a91bb50
13aa388045
1465cdb56c
153e6a1240
hex285bedac

677113260 has 144 divisors (see below), whose sum is σ = 2050304256. Its totient is φ = 166852224.

The previous prime is 677113259. The next prime is 677113273. The reversal of 677113260 is 62311776.

It is a super-3 number, since 3×6771132603 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931017 + ... + 931743.

It is an arithmetic number, because the mean of its divisors is an integer number (14238224).

Almost surely, 2677113260 is an apocalyptic number.

677113260 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 677113260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025152128).

677113260 is an abundant number, since it is smaller than the sum of its proper divisors (1373190996).

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

677113260 is a wasteful number, since it uses less digits than its factorization.

677113260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 677113260 is about 26021.4000391985. The cubic root of 677113260 is about 878.1198062618.

The spelling of 677113260 in words is "six hundred seventy-seven million, one hundred thirteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 215 228 258 285 361 380 430 516 570 645 722 727 817 860 1083 1140 1290 1444 1454 1634 1805 2166 2181 2451 2580 2908 3268 3610 3635 4085 4332 4362 4902 5415 7220 7270 8170 8724 9804 10830 10905 12255 13813 14540 15523 16340 21660 21810 24510 27626 31046 31261 41439 43620 46569 49020 55252 62092 62522 69065 77615 82878 93138 93783 125044 138130 155230 156305 165756 186276 187566 207195 232845 262447 276260 310460 312610 375132 414390 465690 468915 524894 593959 625220 787341 828780 931380 937830 1049788 1187918 1312235 1574682 1781877 1875660 2375836 2624470 2969795 3149364 3563754 3936705 5248940 5939590 7127508 7873410 8909385 11285221 11879180 15746820 17818770 22570442 33855663 35637540 45140884 56426105 67711326 112852210 135422652 169278315 225704420 338556630 677113260