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5320844040 = 2335103547787
BaseRepresentation
bin1001111010010010…
…11010001100001000
3111201211002212211210
410331021122030020
541344114002130
62235552053120
7245566266561
oct47511321410
914654085753
105320844040
112290528976
121045b341a0
1366a477035
1438693d168
152121d15b0
hex13d25a308

5320844040 has 128 divisors (see below), whose sum is σ = 16167490560. Its totient is φ = 1400765184.

The previous prime is 5320844029. The next prime is 5320844041. The reversal of 5320844040 is 404480235.

It is a super-3 number, since 3×53208440403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5320843989 and 5320844007.

It is not an unprimeable number, because it can be changed into a prime (5320844041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6760527 + ... + 6761313.

It is an arithmetic number, because the mean of its divisors is an integer number (126308520).

Almost surely, 25320844040 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 5320844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083745280).

5320844040 is an abundant number, since it is smaller than the sum of its proper divisors (10846646520).

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

5320844040 is a wasteful number, since it uses less digits than its factorization.

5320844040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 5320844040 is about 72944.1158696162. The cubic root of 5320844040 is about 1745.7960631948.

The spelling of 5320844040 in words is "five billion, three hundred twenty million, eight hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 547 618 787 824 1030 1094 1236 1545 1574 1641 2060 2188 2361 2472 2735 3090 3148 3282 3935 4120 4376 4722 5470 6180 6296 6564 7870 8205 9444 10940 11805 12360 13128 15740 16410 18888 21880 23610 31480 32820 47220 56341 65640 81061 94440 112682 162122 169023 225364 243183 281705 324244 338046 405305 430489 450728 486366 563410 648488 676092 810610 845115 860978 972732 1126820 1215915 1291467 1352184 1621220 1690230 1721956 1945464 2152445 2253640 2431830 2582934 3242440 3380460 3443912 4304890 4863660 5165868 6457335 6760920 8609780 9727320 10331736 12914670 17219560 25829340 44340367 51658680 88680734 133021101 177361468 221701835 266042202 354722936 443403670 532084404 665105505 886807340 1064168808 1330211010 1773614680 2660422020 5320844040