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521363106 = 2321121714081
BaseRepresentation
bin11111000100110…
…101111010100010
31100100000222201200
4133010311322202
52031432104411
6123422342030
715630341025
oct3704657242
91310028650
10521363106
11248328900
1212672a916
1384024aa4
144d3571bc
1530b87e56
hex1f135ea2

521363106 has 72 divisors (see below), whose sum is σ = 1314780012. Its totient is φ = 148684800.

The previous prime is 521363083. The next prime is 521363179. The reversal of 521363106 is 601363125.

521363106 is a `hidden beast` number, since 5 + 21 + 3 + 631 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 467208225 + 54154881 = 21615^2 + 7359^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 521363106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29986 + ... + 44066.

Almost surely, 2521363106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521363106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657390006).

521363106 is an abundant number, since it is smaller than the sum of its proper divisors (793416906).

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

521363106 is a wasteful number, since it uses less digits than its factorization.

521363106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 521363106 is about 22833.3770169898. The cubic root of 521363106 is about 804.8471893372.

The spelling of 521363106 in words is "five hundred twenty-one million, three hundred sixty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 12342 14081 18513 28162 37026 42243 84486 126729 154891 239377 253458 309782 464673 478754 718131 929346 1394019 1436262 1703801 2154393 2633147 2788038 3407602 4308786 5111403 5266294 7899441 10222806 15334209 15798882 23698323 28964617 30668418 47396646 57929234 86893851 173787702 260681553 521363106