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2006335400 = 235219527983
BaseRepresentation
bin111011110010110…
…0011111110101000
312011211021101202112
41313211203332220
513102110213100
6531030421452
7100501366226
oct16745437650
95154241675
102006335400
1193a584533
1247bb01888
1325c884c14
14150667b16
15bb214b35
hex77963fa8

2006335400 has 48 divisors (see below), whose sum is σ = 4910251200. Its totient is φ = 760294080.

The previous prime is 2006335399. The next prime is 2006335417. The reversal of 2006335400 is 45336002.

2006335400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260192 + ... + 267791.

It is an arithmetic number, because the mean of its divisors is an integer number (102296900).

Almost surely, 22006335400 is an apocalyptic number.

2006335400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006335400 is an abundant number, since it is smaller than the sum of its proper divisors (2903915800).

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

2006335400 is a wasteful number, since it uses less digits than its factorization.

2006335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528018 (or 528009 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2006335400 is about 44792.1354704149. The cubic root of 2006335400 is about 1261.2499982811.

The spelling of 2006335400 in words is "two billion, six million, three hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 527983 1055966 2111932 2639915 4223864 5279830 10031677 10559660 13199575 20063354 21119320 26399150 40126708 50158385 52798300 80253416 100316770 105596600 200633540 250791925 401267080 501583850 1003167700 2006335400