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5715415320 = 23351371991747
BaseRepresentation
bin1010101001010101…
…00101000100011000
3112202022120011212220
411110222211010120
543201121242240
62343045104040
7261430141266
oct52452450430
915668504786
105715415320
11247322613a
1211360b8020
13701137674
143c30cd436
15236b715d0
hex154aa5118

5715415320 has 128 divisors (see below), whose sum is σ = 17368128000. Its totient is φ = 1504521216.

The previous prime is 5715415319. The next prime is 5715415333. The reversal of 5715415320 is 235145175.

It is a congruent number.

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, 3270687 + ... + 3272433.

It is an arithmetic number, because the mean of its divisors is an integer number (135688500).

Almost surely, 25715415320 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 5715415320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8684064000).

5715415320 is an abundant number, since it is smaller than the sum of its proper divisors (11652712680).

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

5715415320 is a wasteful number, since it uses less digits than its factorization.

5715415320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 5715415320 is about 75600.3658721305. The cubic root of 5715415320 is about 1787.9248675945.

The spelling of 5715415320 in words is "five billion, seven hundred fifteen million, four hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 199 274 398 411 548 597 685 796 822 995 1096 1194 1370 1592 1644 1747 1990 2055 2388 2740 2985 3288 3494 3980 4110 4776 5241 5480 5970 6988 7960 8220 8735 10482 11940 13976 16440 17470 20964 23880 26205 27263 34940 41928 52410 54526 69880 81789 104820 109052 136315 163578 209640 218104 239339 272630 327156 347653 408945 478678 545260 654312 695306 718017 817890 957356 1042959 1090520 1196695 1390612 1436034 1635780 1738265 1914712 2085918 2393390 2781224 2872068 3271560 3476530 3590085 4171836 4786780 5214795 5744136 6953060 7180170 8343672 9573560 10429590 13906120 14360340 20859180 28720680 41718360 47628461 95256922 142885383 190513844 238142305 285770766 381027688 476284610 571541532 714426915 952569220 1143083064 1428853830 1905138440 2857707660 5715415320