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113238 = 235233
BaseRepresentation
bin11011101001010110
312202100000
4123221112
512110423
62232130
7651066
oct335126
9182300
10113238
1178094
1255646
133c708
142d3a6
1523843
hex1ba56

113238 has 24 divisors (see below), whose sum is σ = 255528. Its totient is φ = 37584.

The previous prime is 113233. The next prime is 113279. The reversal of 113238 is 832311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 113238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113233) by changing a digit.

113238 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 11 ways as a sum of consecutive naturals, for example, 370 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2113238 is an apocalyptic number.

113238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

113238 is an abundant number, since it is smaller than the sum of its proper divisors (142290).

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

113238 is an equidigital number, since it uses as much as digits as its factorization.

113238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 113238 is about 336.5085437251. The cubic root of 113238 is about 48.3797994157.

Adding to 113238 its reverse (832311), we get a palindrome (945549).

It can be divided in two parts, 113 and 238, that added together give a triangular number (351 = T26).

The spelling of 113238 in words is "one hundred thirteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 243 466 486 699 1398 2097 4194 6291 12582 18873 37746 56619 113238