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131528034 = 232112332851
BaseRepresentation
bin1111101011011…
…11010101100010
3100011111022112200
413311233111202
5232132344114
621015034030
73154653441
oct765572542
9304438480
10131528034
1168275a60
123806b916
1321332151
141367ad58
15b831409
hex7d6f562

131528034 has 48 divisors (see below), whose sum is σ = 312328224. Its totient is φ = 39672000.

The previous prime is 131528003. The next prime is 131528057. The reversal of 131528034 is 430825131.

It is a happy number.

131528034 is a `hidden beast` number, since 131 + 528 + 0 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131527989 and 131528007.

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 23 ways as a sum of consecutive naturals, for example, 44709 + ... + 47559.

It is an arithmetic number, because the mean of its divisors is an integer number (6506838).

Almost surely, 2131528034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131528034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156164112).

131528034 is an abundant number, since it is smaller than the sum of its proper divisors (180800190).

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

131528034 is a wasteful number, since it uses less digits than its factorization.

131528034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 131528034 is about 11468.5672165271. The cubic root of 131528034 is about 508.5567732459.

The spelling of 131528034 in words is "one hundred thirty-one million, five hundred twenty-eight thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 2097 2563 2851 4194 5126 5702 7689 8553 15378 17106 23067 25659 31361 46134 51318 62722 94083 188166 282249 564498 664283 1328566 1992849 3985698 5978547 7307113 11957094 14614226 21921339 43842678 65764017 131528034