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135535050 = 232527172531
BaseRepresentation
bin10000001010000…
…01100111001010
3100110000220010200
420011001213022
5234144110200
621240553030
73234012630
oct1005014712
9313026120
10135535050
116a562542
1239482776
1322105c71
1414001350
15bd73800
hex81419ca

135535050 has 144 divisors (see below), whose sum is σ = 440811072. Its totient is φ = 29145600.

The previous prime is 135535027. The next prime is 135535063. The reversal of 135535050 is 50535531.

135535050 is a `hidden beast` number, since 13 + 553 + 50 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52285 + ... + 54815.

It is an arithmetic number, because the mean of its divisors is an integer number (3061188).

Almost surely, 2135535050 is an apocalyptic number.

135535050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135535050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220405536).

135535050 is an abundant number, since it is smaller than the sum of its proper divisors (305276022).

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

135535050 is a wasteful number, since it uses less digits than its factorization.

135535050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 135535050 is about 11641.9521558886. The cubic root of 135535050 is about 513.6696110921.

The spelling of 135535050 in words is "one hundred thirty-five million, five hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 63 70 75 85 90 102 105 119 126 150 153 170 175 210 225 238 255 306 315 350 357 425 450 510 525 595 630 714 765 850 1050 1071 1190 1275 1530 1575 1785 2142 2531 2550 2975 3150 3570 3825 5062 5355 5950 7593 7650 8925 10710 12655 15186 17717 17850 22779 25310 26775 35434 37965 43027 45558 53151 53550 63275 75930 86054 88585 106302 113895 126550 129081 159453 177170 189825 215135 227790 258162 265755 301189 318906 379650 387243 430270 442925 531510 569475 602378 645405 774486 797265 885850 903567 1075675 1138950 1290810 1328775 1505945 1594530 1807134 1936215 2151350 2657550 2710701 3011890 3227025 3872430 3986325 4517835 5421402 6454050 7529725 7972650 9035670 9681075 13553505 15059450 19362150 22589175 27107010 45178350 67767525 135535050