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135263660 = 225719211241
BaseRepresentation
bin10000000111111…
…11010110101100
3100102112002212012
420003333112230
5234111414120
621231100352
73231502460
oct1003772654
9312462765
10135263660
116a397654
12393716b8
132203c58c
1413d704a0
15bd1d1c5
hex80ff5ac

135263660 has 96 divisors (see below), whose sum is σ = 344762880. Its totient is φ = 43545600.

The previous prime is 135263651. The next prime is 135263693. The reversal of 135263660 is 66362531.

135263660 is digitally balanced in base 3, 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, 561140 + ... + 561380.

It is an arithmetic number, because the mean of its divisors is an integer number (3591280).

Almost surely, 2135263660 is an apocalyptic number.

135263660 is a gapful number since it is divisible by the number (10) 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 135263660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172381440).

135263660 is an abundant number, since it is smaller than the sum of its proper divisors (209499220).

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

135263660 is a wasteful number, since it uses less digits than its factorization.

135263660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 135263660 is about 11630.2906240558. The cubic root of 135263660 is about 513.3265314591.

The spelling of 135263660 in words is "one hundred thirty-five million, two hundred sixty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 211 241 266 380 422 482 532 665 844 964 1055 1205 1330 1477 1687 2110 2410 2660 2954 3374 4009 4220 4579 4820 5908 6748 7385 8018 8435 9158 14770 16036 16870 18316 20045 22895 28063 29540 32053 33740 40090 45790 50851 56126 64106 80180 91580 101702 112252 128212 140315 160265 203404 254255 280630 320530 355957 508510 561260 641060 711914 966169 1017020 1423828 1779785 1932338 3559570 3864676 4830845 6763183 7119140 9661690 13526366 19323380 27052732 33815915 67631830 135263660