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112340 = 22541137
BaseRepresentation
bin11011011011010100
312201002202
4123123110
512043330
62224032
7645344
oct333324
9181082
10112340
1177448
1255018
133c197
142cd24
1523445
hex1b6d4

112340 has 24 divisors (see below), whose sum is σ = 243432. Its totient is φ = 43520.

The previous prime is 112339. The next prime is 112349. The reversal of 112340 is 43211.

112340 = T235 + T236 + ... + T238.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 111556 = 28^2 + 334^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112349) 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, 752 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (10143).

2112340 is an apocalyptic number.

112340 is a gapful number since it is divisible by the number (10) 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 112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121716).

112340 is an abundant number, since it is smaller than the sum of its proper divisors (131092).

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

112340 is a wasteful number, since it uses less digits than its factorization.

112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

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

The square root of 112340 is about 335.1715978421. The cubic root of 112340 is about 48.2515726979.

Adding to 112340 its reverse (43211), we get a palindrome (155551).

The spelling of 112340 in words is "one hundred twelve thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 41 82 137 164 205 274 410 548 685 820 1370 2740 5617 11234 22468 28085 56170 112340