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5305140520 = 2352912736011
BaseRepresentation
bin1001111000011011…
…00000010100101000
3111200201120001122221
410330031200110220
541331103444040
62234231323424
7245315643661
oct47415402450
914621501587
105305140520
112282682659
121040820574
13667139404
14384812368
15210b2d74a
hex13c360528

5305140520 has 64 divisors (see below), whose sum is σ = 12445747200. Its totient is φ = 2032692480.

The previous prime is 5305140493. The next prime is 5305140521. The reversal of 5305140520 is 250415035.

It is not an unprimeable number, because it can be changed into a prime (5305140521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129315 + ... + 165325.

It is an arithmetic number, because the mean of its divisors is an integer number (194464800).

Almost surely, 25305140520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305140520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222873600).

5305140520 is an abundant number, since it is smaller than the sum of its proper divisors (7140606680).

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

5305140520 is a wasteful number, since it uses less digits than its factorization.

5305140520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36178 (or 36174 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5305140520 is about 72836.3955725433. The cubic root of 5305140520 is about 1744.0769024880.

Adding to 5305140520 its reverse (250415035), we get a palindrome (5555555555).

The spelling of 5305140520 in words is "five billion, three hundred five million, one hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 127 145 232 254 290 508 580 635 1016 1160 1270 2540 3683 5080 7366 14732 18415 29464 36011 36830 72022 73660 144044 147320 180055 288088 360110 720220 1044319 1440440 2088638 4177276 4573397 5221595 8354552 9146794 10443190 18293588 20886380 22866985 36587176 41772760 45733970 91467940 132628513 182935880 265257026 530514052 663142565 1061028104 1326285130 2652570260 5305140520