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130266512 = 24174111681
BaseRepresentation
bin1111100001110…
…11010110010000
3100002010020001122
413300323112100
5231322012022
620532021412
73141150515
oct760732620
9302106048
10130266512
1167594182
1237761868
1320cacb9c
141342d30c
15b682742
hex7c3b590

130266512 has 40 divisors (see below), whose sum is σ = 273779352. Its totient is φ = 59801600.

The previous prime is 130266481. The next prime is 130266517. The reversal of 130266512 is 215662031.

It can be written as a sum of positive squares in 4 ways, for example, as 8737936 + 121528576 = 2956^2 + 11024^2 .

It is a super-2 number, since 2×1302665122 = 33938728297292288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130266517) 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, 5312 + ... + 16992.

Almost surely, 2130266512 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 130266512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136889676).

130266512 is an abundant number, since it is smaller than the sum of its proper divisors (143512840).

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

130266512 is a wasteful number, since it uses less digits than its factorization.

130266512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11747 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 130266512 is about 11413.4355914422. The cubic root of 130266512 is about 506.9256439966.

The spelling of 130266512 in words is "one hundred thirty million, two hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 11152 11681 23362 46724 93448 186896 198577 397154 478921 794308 957842 1588616 1915684 3177232 3831368 7662736 8141657 16283314 32566628 65133256 130266512