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113796 = 223229109
BaseRepresentation
bin11011110010000100
312210002200
4123302010
512120141
62234500
7652524
oct336204
9183080
10113796
1178551
1255a30
133ca47
142d684
1523ab6
hex1bc84

113796 has 36 divisors (see below), whose sum is σ = 300300. Its totient is φ = 36288.

The previous prime is 113783. The next prime is 113797. The reversal of 113796 is 697311.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 44100 = 264^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 990 + ... + 1098.

2113796 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 113796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150150).

113796 is an abundant number, since it is smaller than the sum of its proper divisors (186504).

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

113796 is a wasteful number, since it uses less digits than its factorization.

113796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 113796 is about 337.3366271249. The cubic root of 113796 is about 48.4591358772.

It can be divided in two parts, 113 and 796, that added together give a palindrome (909).

The spelling of 113796 in words is "one hundred thirteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 109 116 174 218 261 327 348 436 522 654 981 1044 1308 1962 3161 3924 6322 9483 12644 18966 28449 37932 56898 113796