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130266336 = 25359109211
BaseRepresentation
bin1111100001110…
…11010011100000
3100002010012211010
413300323103200
5231322010321
620532020520
73141150144
oct760732340
9302105733
10130266336
1167594032
1237761740
1320caca95
141342d224
15b682676
hex7c3b4e0

130266336 has 96 divisors (see below), whose sum is σ = 352598400. Its totient is φ = 42094080.

The previous prime is 130266329. The next prime is 130266349. The reversal of 130266336 is 633662031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617271 + ... + 617481.

It is an arithmetic number, because the mean of its divisors is an integer number (3672900).

Almost surely, 2130266336 is an apocalyptic number.

130266336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130266336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176299200).

130266336 is an abundant number, since it is smaller than the sum of its proper divisors (222332064).

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

130266336 is a wasteful number, since it uses less digits than its factorization.

130266336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 130266336 is about 11413.4278812283. The cubic root of 130266336 is about 506.9254156981.

The spelling of 130266336 in words is "one hundred thirty million, two hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 109 118 177 211 218 236 327 354 422 436 472 633 654 708 844 872 944 1266 1308 1416 1688 1744 1888 2532 2616 2832 3376 3488 5064 5232 5664 6431 6752 10128 10464 12449 12862 19293 20256 22999 24898 25724 37347 38586 45998 49796 51448 68997 74694 77172 91996 99592 102896 137994 149388 154344 183992 199184 205792 275988 298776 308688 367984 398368 551976 597552 617376 735968 1103952 1195104 1356941 2207904 2713882 4070823 5427764 8141646 10855528 16283292 21711056 32566584 43422112 65133168 130266336