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2105259 = 313232347
BaseRepresentation
bin1000000001111110101011
310221221212120
420001332223
51014332014
6113042323
723615532
oct10017653
93857776
102105259
111208792
128563a3
13589320
143cb319
152b8ba9
hex201fab

2105259 has 16 divisors (see below), whose sum is σ = 3155712. Its totient is φ = 1238688.

The previous prime is 2105251. The next prime is 2105267. The reversal of 2105259 is 9525012.

2105259 = T26 + T27 + ... + T232.

2105259 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2105251) and next prime (2105267).

It is not a de Polignac number, because 2105259 - 23 = 2105251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277 + ... + 2070.

It is an arithmetic number, because the mean of its divisors is an integer number (197232).

22105259 is an apocalyptic number.

2105259 is a deficient number, since it is larger than the sum of its proper divisors (1050453).

2105259 is a wasteful number, since it uses less digits than its factorization.

2105259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2105259 is about 1450.9510674037. The cubic root of 2105259 is about 128.1647252587.

The spelling of 2105259 in words is "two million, one hundred five thousand, two hundred fifty-nine".

Divisors: 1 3 13 23 39 69 299 897 2347 7041 30511 53981 91533 161943 701753 2105259