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5305300000 = 25557111353
BaseRepresentation
bin1001111000011100…
…00111010000100000
3111200201212011102121
410330032013100200
541331124100000
62234234554024
7245320206640
oct47416072040
914621764377
105305300000
112282781460
121040898914
13667193b90
14384854520
15210b60b1a
hex13c387420

5305300000 has 576 divisors, whose sum is σ = 17859356928. Its totient is φ = 1497600000.

The previous prime is 5305299997. The next prime is 5305300073. The reversal of 5305300000 is 35035.

It is a happy number.

It is a super-3 number, since 3×53053000003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 95 ways as a sum of consecutive naturals, for example, 100099974 + ... + 100100026.

It is an arithmetic number, because the mean of its divisors is an integer number (31005828).

Almost surely, 25305300000 is an apocalyptic number.

5305300000 is a gapful number since it is divisible by the number (50) 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 5305300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8929678464).

5305300000 is an abundant number, since it is smaller than the sum of its proper divisors (12554056928).

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

5305300000 is a wasteful number, since it uses less digits than its factorization.

5305300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 5305300000 is about 72837.4903466615. The cubic root of 5305300000 is about 1744.0943787827.

Adding to 5305300000 its reverse (35035), we get a palindrome (5305335035).

It can be divided in two parts, 530 and 5300000, that multiplied together give a square (2809000000 = 530002).

The spelling of 5305300000 in words is "five billion, three hundred five million, three hundred thousand".