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2105379 = 3377977
BaseRepresentation
bin1000000010000000100011
310221222001000
420002000203
51014333004
6113043043
723616063
oct10020043
93858030
102105379
111208891
12856483
135893b3
143cb3a3
152b8c39
hex202023

2105379 has 8 divisors (see below), whose sum is σ = 3119120. Its totient is φ = 1403568.

The previous prime is 2105377. The next prime is 2105381. The reversal of 2105379 is 9735012.

It is an interprime number because it is at equal distance from previous prime (2105377) and next prime (2105381).

It is not a de Polignac number, because 2105379 - 21 = 2105377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 77977 = 2105379 / (2 + 1 + 0 + 5 + 3 + 7 + 9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2105377) 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 7 ways as a sum of consecutive naturals, for example, 38962 + ... + 39015.

It is an arithmetic number, because the mean of its divisors is an integer number (389890).

22105379 is an apocalyptic number.

2105379 is a deficient number, since it is larger than the sum of its proper divisors (1013741).

2105379 is an equidigital number, since it uses as much as digits as its factorization.

2105379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77986 (or 77980 counting only the distinct ones).

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

The square root of 2105379 is about 1450.9924190016. The cubic root of 2105379 is about 128.1671603470.

2105379 divided by its sum of digits (27) gives a palindrome (77977).

The spelling of 2105379 in words is "two million, one hundred five thousand, three hundred seventy-nine".

Divisors: 1 3 9 27 77977 233931 701793 2105379