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130806528 = 283181941
BaseRepresentation
bin1111100101111…
…11001100000000
3100010010122211020
413302333030000
5231441302103
620551345440
73145560066
oct762771400
9303118736
10130806528
1167922976
1237982280
132113b918
1413530036
15b73c753
hex7cbf300

130806528 has 72 divisors (see below), whose sum is σ = 350431536. Its totient is φ = 43315200.

The previous prime is 130806527. The next prime is 130806547. The reversal of 130806528 is 825608031.

It is a happy number.

130806528 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×1308065282 = 34220695534829568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130806527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138538 + ... + 139478.

Almost surely, 2130806528 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 130806528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175215768).

130806528 is an abundant number, since it is smaller than the sum of its proper divisors (219625008).

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

130806528 is an equidigital number, since it uses as much as digits as its factorization.

130806528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 130806528 is about 11437.0681557819. The cubic root of 130806528 is about 507.6251600676.

The spelling of 130806528 in words is "one hundred thirty million, eight hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 768 941 1086 1448 1882 2172 2823 2896 3764 4344 5646 5792 7528 8688 11292 11584 15056 17376 22584 23168 30112 34752 45168 46336 60224 69504 90336 120448 139008 170321 180672 240896 340642 361344 510963 681284 722688 1021926 1362568 2043852 2725136 4087704 5450272 8175408 10900544 16350816 21801088 32701632 43602176 65403264 130806528