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130302564 = 22372221603
BaseRepresentation
bin1111100010001…
…00001001100100
3100002012001111220
413301010021210
5231324140224
620532500340
73141360600
oct761041144
9302161456
10130302564
1167609277
123777a6b0
1320cc3412
141343c500
15b68d279
hex7c44264

130302564 has 36 divisors (see below), whose sum is σ = 353679984. Its totient is φ = 37229136.

The previous prime is 130302563. The next prime is 130302577. The reversal of 130302564 is 465203031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130302563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110214 + ... + 111389.

It is an arithmetic number, because the mean of its divisors is an integer number (9824444).

Almost surely, 2130302564 is an apocalyptic number.

130302564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130302564 is an abundant number, since it is smaller than the sum of its proper divisors (223377420).

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

130302564 is a wasteful number, since it uses less digits than its factorization.

130302564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221624 (or 221615 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 130302564 is about 11415.0148488734. The cubic root of 130302564 is about 506.9724045374.

Adding to 130302564 its reverse (465203031), we get a palindrome (595505595).

The spelling of 130302564 in words is "one hundred thirty million, three hundred two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 221603 443206 664809 886412 1329618 1551221 2659236 3102442 4653663 6204884 9307326 10858547 18614652 21717094 32575641 43434188 65151282 130302564