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2085660 = 2232511587
BaseRepresentation
bin111111101001100011100
310220221222200
413331030130
51013220120
6112411500
723504433
oct7751434
93827880
102085660
1111a4a95
12846b90
13580425
143c411a
152b2e90
hex1fd31c

2085660 has 36 divisors (see below), whose sum is σ = 6327048. Its totient is φ = 556128.

The previous prime is 2085659. The next prime is 2085667. The reversal of 2085660 is 665802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085667) 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, 5614 + ... + 5973.

22085660 is an apocalyptic number.

2085660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085660 is an abundant number, since it is smaller than the sum of its proper divisors (4241388).

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

2085660 is a wasteful number, since it uses less digits than its factorization.

2085660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11602 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2085660 is about 1444.1814290455. The cubic root of 2085660 is about 127.7657662867.

The spelling of 2085660 in words is "two million, eighty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11587 23174 34761 46348 57935 69522 104283 115870 139044 173805 208566 231740 347610 417132 521415 695220 1042830 2085660