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20332000 = 2553131723
BaseRepresentation
bin100110110001…
…1110111100000
31102020222021001
41031203313200
520201111000
62003441344
7334550653
oct115436740
942228231
1020332000
1110527807
126986254
13429b590
1429b389a
151bb946a
hex1363de0

20332000 has 192 divisors, whose sum is σ = 59439744. Its totient is φ = 6758400.

The previous prime is 20331989. The next prime is 20332043. The reversal of 20332000 is 23302.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 883989 + ... + 884011.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 220332000 is an apocalyptic number.

20332000 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 20332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

20332000 is an abundant number, since it is smaller than the sum of its proper divisors (39107744).

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

20332000 is a wasteful number, since it uses less digits than its factorization.

20332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 20332000 is about 4509.1019061449. The cubic root of 20332000 is about 272.9355042712.

Adding to 20332000 its reverse (23302), we get a palindrome (20355302).

The spelling of 20332000 in words is "twenty million, three hundred thirty-two thousand".