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5420388240 = 243353896451
BaseRepresentation
bin1010000110001010…
…01000111110010000
3111222202102020211000
411003011020332100
542100104410430
62253505422000
7251215353111
oct50305107620
914882366730
105420388240
112331738a03
12107333a900
13684c8b227
14395c52208
1521ace5e60
hex143148f90

5420388240 has 160 divisors (see below), whose sum is σ = 18721123200. Its totient is φ = 1441497600.

The previous prime is 5420388187. The next prime is 5420388283. The reversal of 5420388240 is 428830245.

5420388240 is a `hidden beast` number, since 542 + 0 + 38 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5420388195 and 5420388204.

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 31 ways as a sum of consecutive naturals, for example, 837015 + ... + 843465.

It is an arithmetic number, because the mean of its divisors is an integer number (117007020).

Almost surely, 25420388240 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 5420388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360561600).

5420388240 is an abundant number, since it is smaller than the sum of its proper divisors (13300734960).

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

5420388240 is a wasteful number, since it uses less digits than its factorization.

5420388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5420388240 is about 73623.2859902355. The cubic root of 5420388240 is about 1756.6158541945.

The spelling of 5420388240 in words is "five billion, four hundred twenty million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 389 432 540 720 778 1080 1167 1556 1945 2160 2334 3112 3501 3890 4668 5835 6224 6451 7002 7780 9336 10503 11670 12902 14004 15560 17505 18672 19353 21006 23340 25804 28008 31120 32255 35010 38706 42012 46680 51608 52515 56016 58059 64510 70020 77412 84024 93360 96765 103216 105030 116118 129020 140040 154824 168048 174177 193530 210060 232236 258040 280080 290295 309648 348354 387060 420120 464472 516080 580590 696708 774120 840240 870885 928944 1161180 1393416 1548240 1741770 2322360 2509439 2786832 3483540 4644720 5018878 6967080 7528317 10037756 12547195 13934160 15056634 20075512 22584951 25094390 30113268 37641585 40151024 45169902 50188780 60226536 67754853 75283170 90339804 100377560 112924755 120453072 135509706 150566340 180679608 200755120 225849510 271019412 301132680 338774265 361359216 451699020 542038824 602265360 677548530 903398040 1084077648 1355097060 1806796080 2710194120 5420388240