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115304 = 2372971
BaseRepresentation
bin11100001001101000
312212011112
4130021220
512142204
62245452
7660110
oct341150
9185145
10115304
11796a2
1256888
1340637
1430040
152426e
hex1c268

115304 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 47040.

The previous prime is 115303. The next prime is 115309. The reversal of 115304 is 403511.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115304.

It is not an unprimeable number, because it can be changed into a prime (115301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1589 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2115304 is an apocalyptic number.

115304 is a gapful number since it is divisible by the number (14) 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 115304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

115304 is an abundant number, since it is smaller than the sum of its proper divisors (143896).

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

115304 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 115304 = (341150)8.

115304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 115304 is about 339.5644268766. The cubic root of 115304 is about 48.6722538987.

Adding to 115304 its reverse (403511), we get a palindrome (518815).

The spelling of 115304 in words is "one hundred fifteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 29 56 58 71 116 142 203 232 284 406 497 568 812 994 1624 1988 2059 3976 4118 8236 14413 16472 28826 57652 115304