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130082528 = 2537181607
BaseRepresentation
bin1111100000011…
…10011011100000
3100001202212200102
413300032123200
5231300120103
620524041532
73136453232
oct760163340
9301685612
10130082528
1167478a24
12376932a8
1320c47214
14133c2252
15b647e88
hex7c0e6e0

130082528 has 48 divisors (see below), whose sum is σ = 264910464. Its totient is φ = 62830080.

The previous prime is 130082527. The next prime is 130082539. The reversal of 130082528 is 825280031.

It is a self number, because there is not a number n which added to its sum of digits gives 130082528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130082527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214001 + ... + 214607.

It is an arithmetic number, because the mean of its divisors is an integer number (5518968).

Almost surely, 2130082528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132455232).

130082528 is an abundant number, since it is smaller than the sum of its proper divisors (134827936).

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

130082528 is a wasteful number, since it uses less digits than its factorization.

130082528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 130082528 is about 11405.3727690067. The cubic root of 130082528 is about 506.6868766946.

The spelling of 130082528 in words is "one hundred thirty million, eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 181 296 362 592 607 724 1184 1214 1448 2428 2896 4856 5792 6697 9712 13394 19424 22459 26788 44918 53576 89836 107152 109867 179672 214304 219734 359344 439468 718688 878936 1757872 3515744 4065079 8130158 16260316 32520632 65041264 130082528