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113382 = 2326299
BaseRepresentation
bin11011101011100110
312202112100
4123223212
512112012
62232530
7651363
oct335346
9182470
10113382
1178205
1255746
133c7b9
142d46a
15238dc
hex1bae6

113382 has 12 divisors (see below), whose sum is σ = 245700. Its totient is φ = 37788.

The previous prime is 113381. The next prime is 113383. The reversal of 113382 is 283311.

It is an interprime number because it is at equal distance from previous prime (113381) and next prime (113383).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6299 = 113382 / (1 + 1 + 3 + 3 + 8 + 2).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113382.

It is not an unprimeable number, because it can be changed into a prime (113381) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3132 + ... + 3167.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2113382 is an apocalyptic number.

113382 is an abundant number, since it is smaller than the sum of its proper divisors (132318).

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

113382 is a wasteful number, since it uses less digits than its factorization.

113382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6304 counting only the distinct ones).

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

The square root of 113382 is about 336.7224376248. The cubic root of 113382 is about 48.4002982474.

Adding to 113382 its product of digits (144), we get a triangular number (113526 = T476).

Adding to 113382 its reverse (283311), we get a palindrome (396693).

The spelling of 113382 in words is "one hundred thirteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 6299 12598 18897 37794 56691 113382