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112593 = 3132887
BaseRepresentation
bin11011011111010001
312201110010
4123133101
512100333
62225133
7646155
oct333721
9181403
10112593
1177658
12551a9
133c330
142d065
1523563
hex1b7d1

112593 has 8 divisors (see below), whose sum is σ = 161728. Its totient is φ = 69264.

The previous prime is 112589. The next prime is 112601. The reversal of 112593 is 395211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 112593 - 22 = 112589 is a prime.

It is a Duffinian number.

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 112593.

It is not an unprimeable number, because it can be changed into a prime (112543) 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 7 ways as a sum of consecutive naturals, for example, 1405 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (20216).

2112593 is an apocalyptic number.

112593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112593 is a deficient number, since it is larger than the sum of its proper divisors (49135).

112593 is a wasteful number, since it uses less digits than its factorization.

112593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903.

The product of its digits is 270, while the sum is 21.

The square root of 112593 is about 335.5488041999. The cubic root of 112593 is about 48.2877678646.

The spelling of 112593 in words is "one hundred twelve thousand, five hundred ninety-three".

Divisors: 1 3 13 39 2887 8661 37531 112593