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130528105 = 523261809
BaseRepresentation
bin1111100011110…
…11001101101001
3100002121111220021
413301323031221
5231403344410
620541400441
73143320261
oct761731551
9302544807
10130528105
1167752774
1237869121
1321071c86
141349a7a1
15b6d4eda
hex7c7b369

130528105 has 24 divisors (see below), whose sum is σ = 166629960. Its totient is φ = 98123520.

The previous prime is 130528087. The next prime is 130528117. The reversal of 130528105 is 501825031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7118224 + 123409881 = 2668^2 + 11109^2 .

It is not a de Polignac number, because 130528105 - 213 = 130519913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130528105.

It is a congruent number.

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, 160941 + ... + 161749.

It is an arithmetic number, because the mean of its divisors is an integer number (6942915).

Almost surely, 2130528105 is an apocalyptic number.

It is an amenable number.

130528105 is a deficient number, since it is larger than the sum of its proper divisors (36101855).

130528105 is an equidigital number, since it uses as much as digits as its factorization.

130528105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 130528105 is about 11424.8897150038. The cubic root of 130528105 is about 507.2647424897.

The spelling of 130528105 in words is "one hundred thirty million, five hundred twenty-eight thousand, one hundred five".

Divisors: 1 5 23 61 115 305 529 809 1403 2645 4045 7015 18607 32269 49349 93035 161345 246745 427961 1135027 2139805 5675135 26105621 130528105