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2105838 = 2357619
BaseRepresentation
bin1000000010000111101110
310221222200000
420002013232
51014341323
6113045130
723620320
oct10020756
93858600
102105838
111209169
128567a6
13589677
143cb610
152b8e43
hex2021ee

2105838 has 48 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 600696.

The previous prime is 2105837. The next prime is 2105843. The reversal of 2105838 is 8385012.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105833) 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, 3093 + ... + 3711.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

22105838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

2105838 is an abundant number, since it is smaller than the sum of its proper divisors (3310482).

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

2105838 is an equidigital number, since it uses as much as digits as its factorization.

2105838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2105838 is about 1451.1505779898. The cubic root of 2105838 is about 128.1764737061.

The spelling of 2105838 in words is "two million, one hundred five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 619 1134 1238 1701 1857 3402 3714 4333 5571 8666 11142 12999 16713 25998 33426 38997 50139 77994 100278 116991 150417 233982 300834 350973 701946 1052919 2105838