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2085760 = 2753259
BaseRepresentation
bin111111101001110000000
310220222010101
413331032000
51013221020
6112412144
723504635
oct7751600
93828111
102085760
1111a5076
12847054
135804a1
143c418c
152b300a
hex1fd380

2085760 has 32 divisors (see below), whose sum is σ = 4987800. Its totient is φ = 834048.

The previous prime is 2085757. The next prime is 2085779. The reversal of 2085760 is 675802.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 990 + ... + 2269.

22085760 is an apocalyptic number.

2085760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085760 is an abundant number, since it is smaller than the sum of its proper divisors (2902040).

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

2085760 is an equidigital number, since it uses as much as digits as its factorization.

2085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2085760 is about 1444.2160503193. The cubic root of 2085760 is about 127.7678082259.

The spelling of 2085760 in words is "two million, eighty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3259 6518 13036 16295 26072 32590 52144 65180 104288 130360 208576 260720 417152 521440 1042880 2085760