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2026112 = 27111439
BaseRepresentation
bin111101110101010000000
310210221022012
413232222000
51004313422
6111232052
723136014
oct7565200
93727265
102026112
111164280
12818628
1355c2aa
143aa544
152a04e2
hex1eea80

2026112 has 32 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 920320.

The previous prime is 2026109. The next prime is 2026121. The reversal of 2026112 is 2116202.

2026112 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 689 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

22026112 is an apocalyptic number.

2026112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).

2026112 is an abundant number, since it is smaller than the sum of its proper divisors (2380288).

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

2026112 is a wasteful number, since it uses less digits than its factorization.

2026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2026112 is about 1423.4156104244. The cubic root of 2026112 is about 126.5380535113.

The spelling of 2026112 in words is "two million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1439 2878 5756 11512 15829 23024 31658 46048 63316 92096 126632 184192 253264 506528 1013056 2026112