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112336 = 2471759
BaseRepresentation
bin11011011011010000
312201002121
4123123100
512043321
62224024
7645340
oct333320
9181077
10112336
1177444
1255014
133c193
142cd20
1523441
hex1b6d0

112336 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 44544.

The previous prime is 112331. The next prime is 112337. The reversal of 112336 is 633211.

112336 = T43 + T44 + ... + T90.

It is a Harshad number since it is a multiple of its sum of digits (16).

112336 is a modest number, since divided by 336 gives 112 as remainder.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1875 + ... + 1933.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2112336 is an apocalyptic number.

112336 is a gapful number since it is divisible by the number (16) 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 112336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

112336 is an abundant number, since it is smaller than the sum of its proper divisors (155504).

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

112336 is a wasteful number, since it uses less digits than its factorization.

112336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 112336 is about 335.1656306962. The cubic root of 112336 is about 48.2510000061.

112336 divided by its sum of digits (16) gives a triangular number (7021 = T118).

Adding to 112336 its reverse (633211), we get a palindrome (745547).

The spelling of 112336 in words is "one hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 59 68 112 118 119 136 236 238 272 413 472 476 826 944 952 1003 1652 1904 2006 3304 4012 6608 7021 8024 14042 16048 28084 56168 112336