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130304 = 28509
BaseRepresentation
bin11111110100000000
320121202002
4133310000
513132204
62443132
71051616
oct376400
9217662
10130304
1189999
12634a8
1347405
14356b6
152891e
hex1fd00

130304 has 18 divisors (see below), whose sum is σ = 260610. Its totient is φ = 65024.

The previous prime is 130303. The next prime is 130307. The reversal of 130304 is 403031.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 6400 = 352^2 + 80^2 .

130304 is an admirable number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2 + ... + 510.

2130304 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 130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130305).

130304 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

130304 is an frugal number, since it uses more digits than its factorization.

130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 130304 is about 360.9764535257. The cubic root of 130304 is about 50.6974266894.

Adding to 130304 its reverse (403031), we get a palindrome (533335).

It can be divided in two parts, 130 and 304, that added together give a palindrome (434).

The spelling of 130304 in words is "one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 509 1018 2036 4072 8144 16288 32576 65152 130304