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206513060 = 225132961449
BaseRepresentation
bin11000100111100…
…10001110100100
3112101120221122212
430103302032210
5410331404220
632254142552
75055221615
oct1423621644
9471527585
10206513060
11a6631356
12591b1a58
1333a279a0
141d5d9c0c
15131e40c5
hexc4f23a4

206513060 has 96 divisors (see below), whose sum is σ = 492156000. Its totient is φ = 72253440.

The previous prime is 206513051. The next prime is 206513077. The reversal of 206513060 is 60315602.

It can be written as a sum of positive squares in 16 ways, for example, as 125260864 + 81252196 = 11192^2 + 9014^2 .

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, 459716 + ... + 460164.

It is an arithmetic number, because the mean of its divisors is an integer number (5126625).

Almost surely, 2206513060 is an apocalyptic number.

206513060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206513060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246078000).

206513060 is an abundant number, since it is smaller than the sum of its proper divisors (285642940).

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

206513060 is a wasteful number, since it uses less digits than its factorization.

206513060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 206513060 is about 14370.5622715327. The cubic root of 206513060 is about 591.0839596210.

Adding to 206513060 its reverse (60315602), we get a palindrome (266828662).

The spelling of 206513060 in words is "two hundred six million, five hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 61 65 116 122 130 145 244 260 290 305 377 449 580 610 754 793 898 1220 1508 1586 1769 1796 1885 2245 3172 3538 3770 3965 4490 5837 7076 7540 7930 8845 8980 11674 13021 15860 17690 22997 23348 26042 27389 29185 35380 45994 52084 54778 58370 65105 91988 109556 114985 116740 130210 136945 169273 229970 260420 273890 338546 356057 459940 547780 677092 712114 794281 846365 1424228 1588562 1692730 1780285 3177124 3385460 3560570 3971405 7121140 7942810 10325653 15885620 20651306 41302612 51628265 103256530 206513060