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6305130 = 23251317317
BaseRepresentation
bin11000000011010101101010
3102212100000100
4120003111222
53103231010
6343050230
7104410206
oct30032552
912770010
106305130
113617157
122140976
1313c9b60
14ba1b06
158482c0
hex60356a

6305130 has 96 divisors (see below), whose sum is σ = 18751824. Its totient is φ = 1456128.

The previous prime is 6305129. The next prime is 6305141. The reversal of 6305130 is 315036.

6305130 is a `hidden beast` number, since 630 + 5 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 927369 + 5377761 = 963^2 + 2319^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 19732 + ... + 20048.

Almost surely, 26305130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6305130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9375912).

6305130 is an abundant number, since it is smaller than the sum of its proper divisors (12446694).

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

6305130 is a wasteful number, since it uses less digits than its factorization.

6305130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 6305130 is about 2511.0017921141. The cubic root of 6305130 is about 184.7415919873.

The spelling of 6305130 in words is "six million, three hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 317 390 442 510 585 634 663 765 951 1105 1170 1326 1530 1585 1902 1989 2210 2853 3170 3315 3978 4121 4755 5389 5706 6630 8242 9510 9945 10778 12363 14265 16167 19890 20605 24726 26945 28530 32334 37089 41210 48501 53890 61815 70057 74178 80835 97002 123630 140114 161670 185445 210171 242505 350285 370890 420342 485010 630513 700570 1050855 1261026 2101710 3152565 6305130