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5120435200 = 21052200017
BaseRepresentation
bin1001100010011001…
…11010010000000000
3111012212000001121011
410301030322100000
540441312411300
62204032410304
7240613660336
oct46114722000
914185001534
105120435200
112198396831
12baa9a6994
13637aa891a
14368091b56
151ee7e5eba
hex13133a400

5120435200 has 66 divisors (see below), whose sum is σ = 12692542226. Its totient is φ = 2048163840.

The previous prime is 5120435167. The next prime is 5120435231. The reversal of 5120435200 is 25340215.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 5119688704 = 864^2 + 71552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74409 + ... + 125608.

Almost surely, 25120435200 is an apocalyptic number.

5120435200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5120435200 is an abundant number, since it is smaller than the sum of its proper divisors (7572107026).

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

5120435200 is a wasteful number, since it uses less digits than its factorization.

5120435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200047 (or 200024 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5120435200 is about 71557.2162678231. The cubic root of 5120435200 is about 1723.5965844949.

Adding to 5120435200 its reverse (25340215), we get a palindrome (5145775415).

The spelling of 5120435200 in words is "five billion, one hundred twenty million, four hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 200017 400034 800068 1000085 1600136 2000170 3200272 4000340 5000425 6400544 8000680 10000850 12801088 16001360 20001700 25602176 32002720 40003400 51204352 64005440 80006800 102408704 128010880 160013600 204817408 256021760 320027200 512043520 640054400 1024087040 1280108800 2560217600 5120435200