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2105694 = 2321947131
BaseRepresentation
bin1000000010000101011110
310221222110200
420002011132
51014340234
6113044330
723620023
oct10020536
93858420
102105694
111209048
128566a6
13589596
143cb54a
152b8d99
hex20215e

2105694 has 48 divisors (see below), whose sum is σ = 4942080. Its totient is φ = 645840.

The previous prime is 2105693. The next prime is 2105699. The reversal of 2105694 is 4965012.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16009 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (102960).

22105694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471040).

2105694 is an abundant number, since it is smaller than the sum of its proper divisors (2836386).

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

2105694 is a wasteful number, since it uses less digits than its factorization.

2105694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2105694 is about 1451.1009613394. The cubic root of 2105694 is about 128.1735520137.

The spelling of 2105694 in words is "two million, one hundred five thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 131 141 171 262 282 342 393 423 786 846 893 1179 1786 2358 2489 2679 4978 5358 6157 7467 8037 12314 14934 16074 18471 22401 36942 44802 55413 110826 116983 233966 350949 701898 1052847 2105694