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4105505430 = 23251313032693
BaseRepresentation
bin1111010010110101…
…0000101010010110
3101121010020021200200
43310231100222112
531402002133210
61515215121330
7203511135405
oct36455205226
911533207620
104105505430
1118174a5aa4
12966b13246
13505742070
142ad37963c
151906660c0
hexf4b50a96

4105505430 has 96 divisors (see below), whose sum is σ = 11508509376. Its totient is φ = 1009435392.

The previous prime is 4105505401. The next prime is 4105505447. The reversal of 4105505430 is 345055014.

4105505430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4105505394 and 4105505403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523164 + ... + 1525856.

It is an arithmetic number, because the mean of its divisors is an integer number (119880306).

Almost surely, 24105505430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105505430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754254688).

4105505430 is an abundant number, since it is smaller than the sum of its proper divisors (7403003946).

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

4105505430 is a wasteful number, since it uses less digits than its factorization.

4105505430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4105505430 is about 64074.2181380311. The cubic root of 4105505430 is about 1601.2367300134.

The spelling of 4105505430 in words is "four billion, one hundred five million, five hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1303 2606 2693 3909 5386 6515 7818 8079 11727 13030 13465 16158 16939 19545 23454 24237 26930 33878 35009 39090 40395 48474 50817 58635 70018 80790 84695 101634 105027 117270 121185 152451 169390 175045 210054 242370 254085 304902 315081 350090 508170 525135 630162 762255 1050270 1524510 1575405 3150810 3508979 7017958 10526937 17544895 21053874 31580811 35089790 45616727 52634685 63161622 91233454 105269370 136850181 157904055 228083635 273700362 315808110 410550543 456167270 684250905 821101086 1368501810 2052752715 4105505430