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20590200 = 2334523141
BaseRepresentation
bin100111010001…
…0111001111000
31102202002110000
41032202321320
520232341300
62013153000
7340004511
oct116427170
942662400
1020590200
11106937a4
126a8b760
13435bc67
142a3da08
151c1ac00
hex13a2e78

20590200 has 240 divisors, whose sum is σ = 75620160. Its totient is φ = 5184000.

The previous prime is 20590189. The next prime is 20590201. The reversal of 20590200 is 209502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20590201) 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 59 ways as a sum of consecutive naturals, for example, 502180 + ... + 502220.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 220590200 is an apocalyptic number.

20590200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20590200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

20590200 is an abundant number, since it is smaller than the sum of its proper divisors (55029960).

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

20590200 is a wasteful number, since it uses less digits than its factorization.

20590200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20590200 is about 4537.6425597440. The cubic root of 20590200 is about 274.0860013837.

Adding to 20590200 its reverse (209502), we get a palindrome (20799702).

The spelling of 20590200 in words is "twenty million, five hundred ninety thousand, two hundred".