Search a number
-
+
5308523740 = 22513237112503
BaseRepresentation
bin1001111000110100…
…11010010011011100
3111200221220221120101
410330122122103130
541332440224430
62234432030444
7245356464412
oct47432322334
914627827511
105308523740
112284583503
121041992424
13667a52310
143850532b2
1521109adca
hex13c69a4dc

5308523740 has 96 divisors (see below), whose sum is σ = 12704864256. Its totient is φ = 1848295680.

The previous prime is 5308523663. The next prime is 5308523771. The reversal of 5308523740 is 473258035.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5308523740.

It is a congruent number.

It is an unprimeable number.

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, 418329 + ... + 430831.

It is an arithmetic number, because the mean of its divisors is an integer number (132342336).

Almost surely, 25308523740 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 5308523740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352432128).

5308523740 is an abundant number, since it is smaller than the sum of its proper divisors (7396340516).

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

5308523740 is a wasteful number, since it uses less digits than its factorization.

5308523740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 5308523740 is about 72859.6166610833. The cubic root of 5308523740 is about 1744.4475707711.

The spelling of 5308523740 in words is "five billion, three hundred eight million, five hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 71 92 115 130 142 230 260 284 299 355 460 598 710 923 1196 1420 1495 1633 1846 2990 3266 3692 4615 5980 6532 8165 9230 12503 16330 18460 21229 25006 32660 42458 50012 62515 84916 106145 125030 162539 212290 250060 287569 325078 424580 575138 650156 812695 887713 1150276 1437845 1625390 1775426 2875690 3250780 3550852 3738397 4438565 5751380 7476794 8877130 11540269 14953588 17754260 18691985 20417399 23080538 37383970 40834798 46161076 57701345 74767940 81669596 102086995 115402690 204173990 230805380 265426187 408347980 530852374 1061704748 1327130935 2654261870 5308523740