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5310505400 = 235289298343
BaseRepresentation
bin1001111001000011…
…11110000110111000
3111201002122121220012
410330201332012320
541333442133100
62234542321052
7245412360014
oct47441760670
914632577805
105310505400
112285707342
121042589188
136682972b5
1438540b544
1521133d135
hex13c87e1b8

5310505400 has 48 divisors (see below), whose sum is σ = 12485696400. Its totient is φ = 2100327680.

The previous prime is 5310505393. The next prime is 5310505451. The reversal of 5310505400 is 45050135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131372 + ... + 166971.

It is an arithmetic number, because the mean of its divisors is an integer number (260118675).

Almost surely, 25310505400 is an apocalyptic number.

5310505400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5310505400 is an abundant number, since it is smaller than the sum of its proper divisors (7175191000).

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

5310505400 is a wasteful number, since it uses less digits than its factorization.

5310505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298448 (or 298439 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 5310505400 is about 72873.2145578881. The cubic root of 5310505400 is about 1744.6646098878.

Adding to 5310505400 its reverse (45050135), we get a palindrome (5355555535).

The spelling of 5310505400 in words is "five billion, three hundred ten million, five hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 298343 596686 1193372 1491715 2386744 2983430 5966860 7458575 11933720 14917150 26552527 29834300 53105054 59668600 106210108 132762635 212420216 265525270 531050540 663813175 1062101080 1327626350 2655252700 5310505400