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20849000 = 235320849
BaseRepresentation
bin100111110001…
…0000101101000
31110020020110012
41033202011220
520314132000
62022511052
7342133154
oct117420550
943206405
1020849000
1110850187
126b95488
13441c9b3
142aaa064
151c6c735
hex13e2168

20849000 has 32 divisors (see below), whose sum is σ = 48789000. Its totient is φ = 8339200.

The previous prime is 20848991. The next prime is 20849009. The reversal of 20849000 is 94802.

It is an interprime number because it is at equal distance from previous prime (20848991) and next prime (20849009).

It can be written as a sum of positive squares in 4 ways, for example, as 11276164 + 9572836 = 3358^2 + 3094^2 .

It is not an unprimeable number, because it can be changed into a prime (20849009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9425 + ... + 11424.

Almost surely, 220849000 is an apocalyptic number.

20849000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20849000 is an abundant number, since it is smaller than the sum of its proper divisors (27940000).

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

20849000 is a wasteful number, since it uses less digits than its factorization.

20849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870 (or 20856 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 20849000 is about 4566.0705206994. The cubic root of 20849000 is about 275.2295603838.

The spelling of 20849000 in words is "twenty million, eight hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 20849 41698 83396 104245 166792 208490 416980 521225 833960 1042450 2084900 2606125 4169800 5212250 10424500 20849000