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112827 = 31113263
BaseRepresentation
bin11011100010111011
312201202210
4123202323
512102302
62230203
7646641
oct334273
9181683
10112827
1177850
1255363
133c480
142d191
152366c
hex1b8bb

112827 has 16 divisors (see below), whose sum is σ = 177408. Its totient is φ = 62880.

The previous prime is 112807. The next prime is 112831. The reversal of 112827 is 728211.

It is not a de Polignac number, because 112827 - 28 = 112571 is a prime.

It is an Ulam number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (112807) 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 15 ways as a sum of consecutive naturals, for example, 298 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2112827 is an apocalyptic number.

112827 is a deficient number, since it is larger than the sum of its proper divisors (64581).

112827 is a wasteful number, since it uses less digits than its factorization.

112827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its digits is 224, while the sum is 21.

The square root of 112827 is about 335.8973057350. The cubic root of 112827 is about 48.3211965827.

It can be divided in two parts, 112 and 827, that added together give a palindrome (939).

The spelling of 112827 in words is "one hundred twelve thousand, eight hundred twenty-seven".

Divisors: 1 3 11 13 33 39 143 263 429 789 2893 3419 8679 10257 37609 112827