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2105739 = 321713763
BaseRepresentation
bin1000000010000110001011
310221222112100
420002012023
51014340424
6113044443
723620116
oct10020613
93858470
102105739
111209089
12856723
135895cc
143cb57d
152b8dc9
hex20218b

2105739 has 12 divisors (see below), whose sum is σ = 3220776. Its totient is φ = 1321152.

The previous prime is 2105731. The next prime is 2105759. The reversal of 2105739 is 9375012.

It is not a de Polignac number, because 2105739 - 23 = 2105731 is a prime.

It is a super-2 number, since 2×21057392 = 8868273472242, which contains 22 as substring.

It is a d-powerful number, because it can be written as 215 + 1 + 0 + 59 + 76 + 37 + 9 .

It is not an unprimeable number, because it can be changed into a prime (2105731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6729 + ... + 7034.

It is an arithmetic number, because the mean of its divisors is an integer number (268398).

22105739 is an apocalyptic number.

2105739 is a deficient number, since it is larger than the sum of its proper divisors (1115037).

2105739 is a wasteful number, since it uses less digits than its factorization.

2105739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786 (or 13783 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2105739 is about 1451.1164667248. The cubic root of 2105739 is about 128.1744650569.

The spelling of 2105739 in words is "two million, one hundred five thousand, seven hundred thirty-nine".

Divisors: 1 3 9 17 51 153 13763 41289 123867 233971 701913 2105739