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5305000000 = 26571061
BaseRepresentation
bin1001111000011001…
…11110000001000000
3111200201021220220111
410330030332001000
541331040000000
62234224321104
7245314520206
oct47414760100
914621256814
105305000000
112282597023
121040773194
136670ba471
143847b7076
15210b01cba
hex13c33e040

5305000000 has 112 divisors (see below), whose sum is σ = 13171255344. Its totient is φ = 2120000000.

The previous prime is 5304999907. The next prime is 5305000033. The reversal of 5305000000 is 5035.

It can be written as a sum of positive squares in 8 ways, for example, as 4438757376 + 866242624 = 66624^2 + 29432^2 .

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 15 ways as a sum of consecutive naturals, for example, 4999470 + ... + 5000530.

Almost surely, 25305000000 is an apocalyptic number.

5305000000 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 5305000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585627672).

5305000000 is an abundant number, since it is smaller than the sum of its proper divisors (7866255344).

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

5305000000 is an frugal number, since it uses more digits than its factorization.

5305000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 13.

The square root of 5305000000 is about 72835.4309385206. The cubic root of 5305000000 is about 1744.0615035965.

Adding to 5305000000 its reverse (5035), we get a palindrome (5305005035).

The spelling of 5305000000 in words is "five billion, three hundred five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1061 1250 1600 2000 2122 2500 3125 4000 4244 5000 5305 6250 8000 8488 10000 10610 12500 15625 16976 20000 21220 25000 26525 31250 33952 40000 42440 50000 53050 62500 67904 78125 84880 100000 106100 125000 132625 156250 169760 200000 212200 250000 265250 312500 339520 424400 500000 530500 625000 663125 848800 1000000 1061000 1250000 1326250 1697600 2122000 2500000 2652500 3315625 4244000 5000000 5305000 6631250 8488000 10610000 13262500 16578125 21220000 26525000 33156250 42440000 53050000 66312500 82890625 106100000 132625000 165781250 212200000 265250000 331562500 530500000 663125000 1061000000 1326250000 2652500000 5305000000