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5300043140 = 225797443881
BaseRepresentation
bin1001110111110100…
…00011110110000100
3111200100222002101002
410323322003312010
541323302340030
62233530152432
7245224423550
oct47372036604
914610862332
105300043140
11227a810947
12103ab82718
13666073202
14383c86860
15210473245
hex13be83d84

5300043140 has 96 divisors (see below), whose sum is σ = 12894868224. Its totient is φ = 1792327680.

The previous prime is 5300043139. The next prime is 5300043149. The reversal of 5300043140 is 413400035.

It is a super-3 number, since 3×53000431403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5300043149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6015500 + ... + 6016380.

It is an arithmetic number, because the mean of its divisors is an integer number (134321544).

Almost surely, 25300043140 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 5300043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447434112).

5300043140 is an abundant number, since it is smaller than the sum of its proper divisors (7594825084).

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

5300043140 is a wasteful number, since it uses less digits than its factorization.

5300043140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5300043140 is about 72801.3951789387. The cubic root of 5300043140 is about 1743.5181317660.

Adding to 5300043140 its reverse (413400035), we get a palindrome (5713443175).

The spelling of 5300043140 in words is "five billion, three hundred million, forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 443 485 679 881 886 970 1358 1762 1772 1940 2215 2716 3101 3395 3524 4405 4430 6167 6202 6790 8810 8860 12334 12404 13580 15505 17620 24668 30835 31010 42971 61670 62020 85457 85942 123340 170914 171884 214855 300797 341828 390283 427285 429710 598199 601594 780566 854570 859420 1196398 1203188 1503985 1561132 1709140 1951415 2392796 2731981 2990995 3007970 3902830 5463962 5981990 6015940 7805660 10927924 11963980 13659905 27319810 37857451 54639620 75714902 151429804 189287255 265002157 378574510 530004314 757149020 1060008628 1325010785 2650021570 5300043140