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2105829 = 321189239
BaseRepresentation
bin1000000010000111100101
310221222122200
420002013211
51014341304
6113045113
723620305
oct10020745
93858580
102105829
111209160
12856799
1358966b
143cb605
152b8e39
hex2021e5

2105829 has 24 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 1256640.

The previous prime is 2105819. The next prime is 2105833. The reversal of 2105829 is 9285012.

It is not a de Polignac number, because 2105829 - 24 = 2105813 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105809) 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, 8692 + ... + 8930.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

22105829 is an apocalyptic number.

It is an amenable number.

2105829 is a deficient number, since it is larger than the sum of its proper divisors (1263771).

2105829 is a wasteful number, since it uses less digits than its factorization.

2105829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

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

The square root of 2105829 is about 1451.1474769988. The cubic root of 2105829 is about 128.1762911043.

The spelling of 2105829 in words is "two million, one hundred five thousand, eight hundred twenty-nine".

Divisors: 1 3 9 11 33 89 99 239 267 717 801 979 2151 2629 2937 7887 8811 21271 23661 63813 191439 233981 701943 2105829