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2073040200 = 23325271114957
BaseRepresentation
bin111101110010000…
…0001010101001000
312100110210100112200
41323210001111020
513221144241300
6541412240200
7102241356660
oct17344012510
95313710480
102073040200
119741a4870
1249a310060
1327063b90a
1415946d1a0
15c1ede200
hex7b901548

2073040200 has 288 divisors, whose sum is σ = 8680426560. Its totient is φ = 430732800.

The previous prime is 2073040199. The next prime is 2073040217. The reversal of 2073040200 is 20403702.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 131122 + ... + 146078.

It is an arithmetic number, because the mean of its divisors is an integer number (30140370).

Almost surely, 22073040200 is an apocalyptic number.

2073040200 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 2073040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340213280).

2073040200 is an abundant number, since it is smaller than the sum of its proper divisors (6607386360).

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

2073040200 is a wasteful number, since it uses less digits than its factorization.

2073040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14997 (or 14985 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2073040200 is about 45530.6512143193. The cubic root of 2073040200 is about 1275.0755203249.

Adding to 2073040200 its reverse (20403702), we get a palindrome (2093443902).

The spelling of 2073040200 in words is "two billion, seventy-three million, forty thousand, two hundred".