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2112935 = 51141937
BaseRepresentation
bin1000000011110110100111
310222100101212
420003312213
51020103220
6113142035
723650106
oct10036647
93870355
102112935
111213530
1285a91b
1358c976
143d003d
152bb0c5
hex203da7

2112935 has 16 divisors (see below), whose sum is σ = 2836512. Its totient is φ = 1497600.

The previous prime is 2112923. The next prime is 2112937. The reversal of 2112935 is 5392112.

2112935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2112935 - 24 = 2112919 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112937) 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, 1787 + ... + 2723.

It is an arithmetic number, because the mean of its divisors is an integer number (177282).

22112935 is an apocalyptic number.

2112935 is a deficient number, since it is larger than the sum of its proper divisors (723577).

2112935 is a wasteful number, since it uses less digits than its factorization.

2112935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994.

The product of its digits is 540, while the sum is 23.

The square root of 2112935 is about 1453.5938222213. The cubic root of 2112935 is about 128.3203037689.

The spelling of 2112935 in words is "two million, one hundred twelve thousand, nine hundred thirty-five".

Divisors: 1 5 11 41 55 205 451 937 2255 4685 10307 38417 51535 192085 422587 2112935