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113140 = 2255657
BaseRepresentation
bin11011100111110100
312202012101
4123213310
512110030
62231444
7650566
oct334764
9182171
10113140
1178005
1255584
133c661
142d336
15237ca
hex1b9f4

113140 has 12 divisors (see below), whose sum is σ = 237636. Its totient is φ = 45248.

The previous prime is 113131. The next prime is 113143. The reversal of 113140 is 41311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 88804 = 156^2 + 298^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113143) by changing a digit.

113140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2809 + ... + 2848.

It is an arithmetic number, because the mean of its divisors is an integer number (19803).

2113140 is an apocalyptic number.

113140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113140 is an abundant number, since it is smaller than the sum of its proper divisors (124496).

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

113140 is a wasteful number, since it uses less digits than its factorization.

113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 113140 is about 336.3628992621. The cubic root of 113140 is about 48.3658388820.

Adding to 113140 its reverse (41311), we get a palindrome (154451).

It can be divided in two parts, 113 and 140, that added together give a triangular number (253 = T22).

The spelling of 113140 in words is "one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5657 11314 22628 28285 56570 113140