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2085084 = 2232173407
BaseRepresentation
bin111111101000011011100
310220221012100
413331003130
51013210314
6112405100
723502651
oct7750334
93827170
102085084
1111a4611
12846790
135800a1
143c3c28
152b2c09
hex1fd0dc

2085084 has 36 divisors (see below), whose sum is σ = 5582304. Its totient is φ = 653952.

The previous prime is 2085077. The next prime is 2085089. The reversal of 2085084 is 4805802.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085089) 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 11 ways as a sum of consecutive naturals, for example, 1092 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (155064).

22085084 is an apocalyptic number.

It is an amenable number.

2085084 is an abundant number, since it is smaller than the sum of its proper divisors (3497220).

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

2085084 is a wasteful number, since it uses less digits than its factorization.

2085084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2085084 is about 1443.9819943476. The cubic root of 2085084 is about 127.7540034463.

The spelling of 2085084 in words is "two million, eighty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3407 6814 10221 13628 20442 30663 40884 57919 61326 115838 122652 173757 231676 347514 521271 695028 1042542 2085084