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2090385 = 3251141103
BaseRepresentation
bin111111110010110010001
310221012110200
413332112101
51013343020
6112445413
723524263
oct7762621
93835420
102090385
1111a85a0
12849869
1358261b
143c5b33
152b4590
hex1fe591

2090385 has 48 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 979200.

The previous prime is 2090381. The next prime is 2090441. The reversal of 2090385 is 5830902.

It is not a de Polignac number, because 2090385 - 22 = 2090381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2090381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20244 + ... + 20346.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

22090385 is an apocalyptic number.

It is an amenable number.

2090385 is a deficient number, since it is larger than the sum of its proper divisors (1998063).

2090385 is a wasteful number, since it uses less digits than its factorization.

2090385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2090385 is about 1445.8163783828. The cubic root of 2090385 is about 127.8621766853.

The spelling of 2090385 in words is "two million, ninety thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 103 123 165 205 309 369 451 495 515 615 927 1133 1353 1545 1845 2255 3399 4059 4223 4635 5665 6765 10197 12669 16995 20295 21115 38007 46453 50985 63345 139359 190035 232265 418077 696795 2090385