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112887 = 3337113
BaseRepresentation
bin11011100011110111
312201212000
4123203313
512103022
62230343
7650055
oct334367
9181760
10112887
11778a5
12553b3
133c4c8
142d1d5
15236ac
hex1b8f7

112887 has 16 divisors (see below), whose sum is σ = 173280. Its totient is φ = 72576.

The previous prime is 112877. The next prime is 112901. The reversal of 112887 is 788211.

It is not a de Polignac number, because 112887 - 27 = 112759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 112887.

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 112887.

It is not an unprimeable number, because it can be changed into a prime (112807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (10830).

2112887 is an apocalyptic number.

112887 is a deficient number, since it is larger than the sum of its proper divisors (60393).

112887 is a wasteful number, since it uses less digits than its factorization.

112887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 112887 is about 335.9866068759. The cubic root of 112887 is about 48.3297606026.

It can be divided in two parts, 112 and 887, that added together give a palindrome (999).

The spelling of 112887 in words is "one hundred twelve thousand, eight hundred eighty-seven".

Divisors: 1 3 9 27 37 111 113 333 339 999 1017 3051 4181 12543 37629 112887