Search a number
-
+
5384345540 = 2257239411777
BaseRepresentation
bin1010000001110111…
…01001011111000100
3111220020121002112012
411000323221133010
542011343024130
62250141113352
7250300116260
oct50073513704
914806532465
105384345540
112313360552
121063258858
1367a67b9a2
1439114d0a0
15217a76995
hex140ee97c4

5384345540 has 96 divisors (see below), whose sum is σ = 13506200064. Its totient is φ = 1762928640.

The previous prime is 5384345513. The next prime is 5384345557. The reversal of 5384345540 is 455434835.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3029132 + ... + 3030908.

It is an arithmetic number, because the mean of its divisors is an integer number (140689584).

Almost surely, 25384345540 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 5384345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753100032).

5384345540 is an abundant number, since it is smaller than the sum of its proper divisors (8121854524).

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

5384345540 is a wasteful number, since it uses less digits than its factorization.

5384345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The square root of 5384345540 is about 73378.0998663770. The cubic root of 5384345540 is about 1752.7136717216.

The spelling of 5384345540 in words is "five billion, three hundred eighty-four million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 941 1610 1777 1882 3220 3554 3764 4705 6587 7108 8885 9410 12439 13174 17770 18820 21643 24878 26348 32935 35540 40871 43286 49756 62195 65870 81742 86572 108215 124390 131740 151501 163484 204355 216430 248780 286097 303002 408710 432860 572194 606004 757505 817420 1144388 1430485 1515010 1672157 2860970 3030020 3344314 5721940 6688628 8360785 11705099 16721570 23410198 33443140 38459611 46820396 58525495 76919222 117050990 153838444 192298055 234101980 269217277 384596110 538434554 769192220 1076869108 1346086385 2692172770 5384345540