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130502912 = 28612137
BaseRepresentation
bin1111100011101…
…01000100000000
3100002120020100012
413301311010000
5231402043122
620541044052
73143153651
oct761650400
9302506305
10130502912
1167735851
1237856628
1321063677
1413491528
15b6cc7e2
hex7c75100

130502912 has 54 divisors (see below), whose sum is σ = 266769594. Its totient is φ = 63713280.

The previous prime is 130502891. The next prime is 130502923. The reversal of 130502912 is 219205031.

It can be written as a sum of positive squares in 3 ways, for example, as 3625216 + 126877696 = 1904^2 + 11264^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 952508 + ... + 952644.

Almost surely, 2130502912 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 130502912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133384797).

130502912 is an abundant number, since it is smaller than the sum of its proper divisors (136266682).

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

130502912 is an frugal number, since it uses more digits than its factorization.

130502912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 130502912 is about 11423.7871128624. The cubic root of 130502912 is about 507.2321049645.

Adding to 130502912 its reverse (219205031), we get a palindrome (349707943).

The spelling of 130502912 in words is "one hundred thirty million, five hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 137 244 256 274 488 548 976 1096 1952 2192 3721 3904 4384 7442 7808 8357 8768 14884 15616 16714 17536 29768 33428 35072 59536 66856 119072 133712 238144 267424 476288 509777 534848 952576 1019554 1069696 2039108 2139392 4078216 8156432 16312864 32625728 65251456 130502912