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2105892 = 2233173137
BaseRepresentation
bin1000000010001000100100
310221222202000
420002020210
51014342032
6113045300
723620425
oct10021044
93858660
102105892
111209208
12856830
135896b9
143cb64c
152b8e7c
hex202224

2105892 has 96 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 622080.

The previous prime is 2105891. The next prime is 2105897. The reversal of 2105892 is 2985012.

2105892 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21058922 = 8869562231328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (2105891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56898 + ... + 56934.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

22105892 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 2105892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2105892 is an abundant number, since it is smaller than the sum of its proper divisors (4022748).

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

2105892 is a wasteful number, since it uses less digits than its factorization.

2105892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2105892 is about 1451.1691837963. The cubic root of 2105892 is about 128.1775693065.

The spelling of 2105892 in words is "two million, one hundred five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 37 51 54 62 68 74 93 102 108 111 124 148 153 186 204 222 279 306 333 372 444 459 527 558 612 629 666 837 918 999 1054 1116 1147 1258 1332 1581 1674 1836 1887 1998 2108 2294 2516 3162 3348 3441 3774 3996 4588 4743 5661 6324 6882 7548 9486 10323 11322 13764 14229 16983 18972 19499 20646 22644 28458 30969 33966 38998 41292 56916 58497 61938 67932 77996 116994 123876 175491 233988 350982 526473 701964 1052946 2105892