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2105420 = 225232199
BaseRepresentation
bin1000000010000001001100
310221222002112
420002001030
51014333140
6113043152
723616152
oct10020114
93858075
102105420
111208919
128564b8
13589415
143cb3d2
152b8c65
hex20204c

2105420 has 36 divisors (see below), whose sum is σ = 4645200. Its totient is φ = 801504.

The previous prime is 2105419. The next prime is 2105431. The reversal of 2105420 is 245012.

It is a junction number, because it is equal to n+sod(n) for n = 2105395 and 2105404.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10481 + ... + 10679.

22105420 is an apocalyptic number.

2105420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322600).

2105420 is an abundant number, since it is smaller than the sum of its proper divisors (2539780).

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

2105420 is a wasteful number, since it uses less digits than its factorization.

2105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2105420 is about 1451.0065471941. The cubic root of 2105420 is about 128.1679923143.

The spelling of 2105420 in words is "two million, one hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 199 230 398 460 529 796 995 1058 1990 2116 2645 3980 4577 5290 9154 10580 18308 22885 45770 91540 105271 210542 421084 526355 1052710 2105420