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20890800 = 2432527829
BaseRepresentation
bin100111110110…
…0010010110000
31110022100210100
41033230102300
520322001200
62023432400
7342366060
oct117542260
943270710
1020890800
1110879627
126bb5700
134435a28
142abb3a0
151c79d00
hex13ec4b0

20890800 has 180 divisors, whose sum is σ = 82953520. Its totient is φ = 4769280.

The previous prime is 20890799. The next prime is 20890811. The reversal of 20890800 is 809802.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24786 + ... + 25614.

Almost surely, 220890800 is an apocalyptic number.

20890800 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 20890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41476760).

20890800 is an abundant number, since it is smaller than the sum of its proper divisors (62062720).

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

20890800 is a wasteful number, since it uses less digits than its factorization.

20890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20890800 is about 4570.6454686401. The cubic root of 20890800 is about 275.4133728078.

The spelling of 20890800 in words is "twenty million, eight hundred ninety thousand, eight hundred".