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2085193 = 11219907
BaseRepresentation
bin111111101000101001001
310220221100101
413331011021
51013211233
6112405401
723503165
oct7750511
93827311
102085193
1111a4700
12846861
13580156
143c3ca5
152b2c7d
hex1fd149

2085193 has 12 divisors (see below), whose sum is σ = 2415280. Its totient is φ = 1793880.

The previous prime is 2085191. The next prime is 2085197. The reversal of 2085193 is 3915802.

It is not a de Polignac number, because 2085193 - 21 = 2085191 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2085191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1846 + ... + 2752.

22085193 is an apocalyptic number.

It is an amenable number.

2085193 is a deficient number, since it is larger than the sum of its proper divisors (330087).

2085193 is a wasteful number, since it uses less digits than its factorization.

2085193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 2085193 is about 1444.0197367072. The cubic root of 2085193 is about 127.7562295667.

Subtracting 2085193 from its reverse (3915802), we obtain a square (1830609 = 13532).

It can be divided in two parts, 2085 and 193, that added together give a triangular number (2278 = T67).

The spelling of 2085193 in words is "two million, eighty-five thousand, one hundred ninety-three".

Divisors: 1 11 19 121 209 907 2299 9977 17233 109747 189563 2085193