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113204 = 22713311
BaseRepresentation
bin11011101000110100
312202021202
4123220310
512110304
62232032
7651020
oct335064
9182252
10113204
1178063
1255618
133c6b0
142d380
152381e
hex1ba34

113204 has 24 divisors (see below), whose sum is σ = 244608. Its totient is φ = 44640.

The previous prime is 113189. The next prime is 113209. The reversal of 113204 is 402311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113209) by changing a digit.

113204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2113204 is an apocalyptic number.

113204 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 113204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304).

113204 is an abundant number, since it is smaller than the sum of its proper divisors (131404).

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

113204 is a wasteful number, since it uses less digits than its factorization.

113204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 113204 is about 336.4580211557. The cubic root of 113204 is about 48.3749568780.

Adding to 113204 its reverse (402311), we get a palindrome (515515).

The spelling of 113204 in words is "one hundred thirteen thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 311 364 622 1244 2177 4043 4354 8086 8708 16172 28301 56602 113204