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2085800 = 235210429
BaseRepresentation
bin111111101001110101000
310220222011212
413331032220
51013221200
6112412252
723505023
oct7751650
93828155
102085800
1111a5102
12847088
13580502
143c41ba
152b3035
hex1fd3a8

2085800 has 24 divisors (see below), whose sum is σ = 4849950. Its totient is φ = 834240.

The previous prime is 2085799. The next prime is 2085803. The reversal of 2085800 is 85802.

It can be written as a sum of positive squares in 3 ways, for example, as 2010724 + 75076 = 1418^2 + 274^2 .

It is a hoax number, since the sum of its digits (23) 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 (2085803) 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 5 ways as a sum of consecutive naturals, for example, 5015 + ... + 5414.

22085800 is an apocalyptic number.

2085800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085800 is an abundant number, since it is smaller than the sum of its proper divisors (2764150).

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

2085800 is a wasteful number, since it uses less digits than its factorization.

2085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2085800 is about 1444.2298985965. The cubic root of 2085800 is about 127.7686249833.

The spelling of 2085800 in words is "two million, eighty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10429 20858 41716 52145 83432 104290 208580 260725 417160 521450 1042900 2085800