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2006112 = 25320897
BaseRepresentation
bin111101001110001100000
310202220212110
413221301200
51003143422
6110555320
723023503
oct7516140
93686773
102006112
111150249
12808b40
13553164
143a313a
1529960c
hex1e9c60

2006112 has 24 divisors (see below), whose sum is σ = 5266296. Its totient is φ = 668672.

The previous prime is 2006111. The next prime is 2006141. The reversal of 2006112 is 2116002.

2006112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10353 + ... + 10544.

It is an arithmetic number, because the mean of its divisors is an integer number (219429).

22006112 is an apocalyptic number.

It is an amenable number.

2006112 is an abundant number, since it is smaller than the sum of its proper divisors (3260184).

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

2006112 is a wasteful number, since it uses less digits than its factorization.

2006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20910 (or 20902 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2006112 is about 1416.3728322726. The cubic root of 2006112 is about 126.1203184289.

The spelling of 2006112 in words is "two million, six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 20897 41794 62691 83588 125382 167176 250764 334352 501528 668704 1003056 2006112