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6300216090 = 2325773136991
BaseRepresentation
bin1011101111000010…
…11010101100011010
3121021001222010201200
411313201122230122
5100400323403330
62521055255030
7312060644640
oct56741325432
917231863650
106300216090
112743342663
121279b1a476
1379534101c
1443aa3b190
1526d18aa60
hex17785ab1a

6300216090 has 96 divisors (see below), whose sum is σ = 18977227776. Its totient is φ = 1420312320.

The previous prime is 6300216073. The next prime is 6300216113. The reversal of 6300216090 is 906120036.

It is a happy number.

6300216090 is a `hidden beast` number, since 6 + 30 + 0 + 21 + 609 + 0 = 666.

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, 22506 + ... + 114485.

It is an arithmetic number, because the mean of its divisors is an integer number (197679456).

Almost surely, 26300216090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6300216090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488613888).

6300216090 is an abundant number, since it is smaller than the sum of its proper divisors (12677011686).

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

6300216090 is a wasteful number, since it uses less digits than its factorization.

6300216090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137084 (or 137081 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6300216090 is about 79373.9005593148. The cubic root of 6300216090 is about 1846.9358665984.

The spelling of 6300216090 in words is "six billion, three hundred million, two hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 438 511 630 657 730 1022 1095 1314 1533 2190 2555 3066 3285 4599 5110 6570 7665 9198 15330 22995 45990 136991 273982 410973 684955 821946 958937 1232919 1369910 1917874 2054865 2465838 2876811 4109730 4794685 5753622 6164595 8630433 9589370 10000343 12329190 14384055 17260866 20000686 28768110 30001029 43152165 50001715 60002058 70002401 86304330 90003087 100003430 140004802 150005145 180006174 210007203 300010290 350012005 420014406 450015435 630021609 700024010 900030870 1050036015 1260043218 2100072030 3150108045 6300216090