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2105712 = 243272089
BaseRepresentation
bin1000000010000101110000
310221222111100
420002011300
51014340322
6113044400
723620050
oct10020560
93858440
102105712
111209064
12856700
135895ab
143cb560
152b8dac
hex202170

2105712 has 60 divisors (see below), whose sum is σ = 6738160. Its totient is φ = 601344.

The previous prime is 2105699. The next prime is 2105717. The reversal of 2105712 is 2175012.

2105712 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 2052.

22105712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369080).

2105712 is an abundant number, since it is smaller than the sum of its proper divisors (4632448).

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

2105712 is a wasteful number, since it uses less digits than its factorization.

2105712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2105712 is about 1451.1071635134. The cubic root of 2105712 is about 128.1739172325.

The spelling of 2105712 in words is "two million, one hundred five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2089 4178 6267 8356 12534 14623 16712 18801 25068 29246 33424 37602 43869 50136 58492 75204 87738 100272 116984 131607 150408 175476 233968 263214 300816 350952 526428 701904 1052856 2105712