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5705185320 = 2333515733647
BaseRepresentation
bin1010101000000111…
…00011100000101000
3112201121022102222000
411110003203200220
543141011412240
62342041531000
7261244163232
oct52403434050
915647272860
105705185320
11246847919a
1211327a3a60
136cbc95203
143c19c9252
15235d00430
hex1540e3828

5705185320 has 128 divisors (see below), whose sum is σ = 19138982400. Its totient is φ = 1511647488.

The previous prime is 5705185307. The next prime is 5705185337. The reversal of 5705185320 is 235815075.

5705185320 is a `hidden beast` number, since 5 + 70 + 51 + 8 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 152737 + ... + 186383.

It is an arithmetic number, because the mean of its divisors is an integer number (149523300).

Almost surely, 25705185320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5705185320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569491200).

5705185320 is an abundant number, since it is smaller than the sum of its proper divisors (13433797080).

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

5705185320 is a wasteful number, since it uses less digits than its factorization.

5705185320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33824 (or 33814 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5705185320 is about 75532.6771669057. The cubic root of 5705185320 is about 1786.8574972218.

The spelling of 5705185320 in words is "five billion, seven hundred five million, one hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 628 785 942 1080 1256 1413 1570 1884 2355 2826 3140 3768 4239 4710 5652 6280 7065 8478 9420 11304 14130 16956 18840 21195 28260 33647 33912 42390 56520 67294 84780 100941 134588 168235 169560 201882 269176 302823 336470 403764 504705 605646 672940 807528 908469 1009410 1211292 1345880 1514115 1816938 2018820 2422584 3028230 3633876 4037640 4542345 5282579 6056460 7267752 9084690 10565158 12112920 15847737 18169380 21130316 26412895 31695474 36338760 42260632 47543211 52825790 63390948 79238685 95086422 105651580 126781896 142629633 158477370 190172844 211303160 237716055 285259266 316954740 380345688 475432110 570518532 633909480 713148165 950864220 1141037064 1426296330 1901728440 2852592660 5705185320