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5656256340 = 22357109123553
BaseRepresentation
bin1010100010010001…
…11001111101010100
3112121012020121000120
411101020321331110
543041000200330
62333133111540
7260111246160
oct52110717524
915535217016
105656256340
11244289a119
12111a3285b0
136c1ac3457
143b92cdca0
15231887c10
hex151239f54

5656256340 has 96 divisors (see below), whose sum is σ = 18266223360. Its totient is φ = 1280987136.

The previous prime is 5656256327. The next prime is 5656256351. The reversal of 5656256340 is 436526565.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5656256292 and 5656256301.

It is a congruent number.

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, 15997 + ... + 107556.

It is an arithmetic number, because the mean of its divisors is an integer number (190273160).

Almost surely, 25656256340 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 5656256340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133111680).

5656256340 is an abundant number, since it is smaller than the sum of its proper divisors (12609967020).

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

5656256340 is a wasteful number, since it uses less digits than its factorization.

5656256340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123681 (or 123679 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The square root of 5656256340 is about 75208.0869321910. The cubic root of 5656256340 is about 1781.7346575058.

The spelling of 5656256340 in words is "five billion, six hundred fifty-six million, two hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1090 1308 1526 1635 2180 2289 3052 3270 3815 4578 6540 7630 9156 11445 15260 22890 45780 123553 247106 370659 494212 617765 741318 864871 1235530 1482636 1729742 1853295 2471060 2594613 3459484 3706590 4324355 5189226 7413180 8648710 10378452 12973065 13467277 17297420 25946130 26934554 40401831 51892260 53869108 67336385 80803662 94270939 134672770 161607324 188541878 202009155 269345540 282812817 377083756 404018310 471354695 565625634 808036620 942709390 1131251268 1414064085 1885418780 2828128170 5656256340