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20809200 = 2435217341
BaseRepresentation
bin100111101100…
…0010111110000
31110011012212010
41033120113300
520311343300
62022002520
7341606136
oct117302760
943135763
1020809200
1110823295
126b76440
134407849
142a99756
151c60a50
hex13d85f0

20809200 has 60 divisors (see below), whose sum is σ = 66662648. Its totient is φ = 5548800.

The previous prime is 20809189. The next prime is 20809213. The reversal of 20809200 is 290802.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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, 7471 + ... + 9870.

Almost surely, 220809200 is an apocalyptic number.

20809200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20809200 is an abundant number, since it is smaller than the sum of its proper divisors (45853448).

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

20809200 is a wasteful number, since it uses less digits than its factorization.

20809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17362 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20809200 is about 4561.7102056137. The cubic root of 20809200 is about 275.0543143407.

The spelling of 20809200 in words is "twenty million, eight hundred nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17341 34682 52023 69364 86705 104046 138728 173410 208092 260115 277456 346820 416184 433525 520230 693640 832368 867050 1040460 1300575 1387280 1734100 2080920 2601150 3468200 4161840 5202300 6936400 10404600 20809200