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130784288 = 2531131839
BaseRepresentation
bin1111100101110…
…01110000100000
3100010002112022112
413302321300200
5231440044123
620551054452
73145435205
oct762716040
9303075275
10130784288
1167908198
1237971428
132113176b
1413525cac
15b735d78
hex7cb9c20

130784288 has 24 divisors (see below), whose sum is σ = 265789440. Its totient is φ = 63282240.

The previous prime is 130784249. The next prime is 130784309. The reversal of 130784288 is 882487031.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 64928 + ... + 66911.

It is an arithmetic number, because the mean of its divisors is an integer number (11074560).

Almost surely, 2130784288 is an apocalyptic number.

It is an amenable number.

130784288 is an abundant number, since it is smaller than the sum of its proper divisors (135005152).

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

130784288 is a wasteful number, since it uses less digits than its factorization.

130784288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131880 (or 131872 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 130784288 is about 11436.0958373039. The cubic root of 130784288 is about 507.5963892725.

It can be divided in two parts, 130784 and 288, that added together give a 17-th power (131072 = 217).

The spelling of 130784288 in words is "one hundred thirty million, seven hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 131839 263678 527356 1054712 2109424 4087009 4218848 8174018 16348036 32696072 65392144 130784288