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206465490 = 23357119931
BaseRepresentation
bin11000100111001…
…10100111010010
3112101111112102000
430103212213102
5410323343430
632253134430
75054633130
oct1423464722
9471445360
10206465490
11a65a9640
125918a416
1333a0c13a
141d5c6750
15131d4e60
hexc4e69d2

206465490 has 128 divisors (see below), whose sum is σ = 686499840. Its totient is φ = 42897600.

The previous prime is 206465443. The next prime is 206465491. The reversal of 206465490 is 94564602.

206465490 is a `hidden beast` number, since 2 + 0 + 646 + 5 + 4 + 9 + 0 = 666.

206465490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206465491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15825 + ... + 25755.

It is an arithmetic number, because the mean of its divisors is an integer number (5363280).

Almost surely, 2206465490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206465490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343249920).

206465490 is an abundant number, since it is smaller than the sum of its proper divisors (480034350).

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

206465490 is a wasteful number, since it uses less digits than its factorization.

206465490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 206465490 is about 14368.9070565579. The cubic root of 206465490 is about 591.0385710094.

The spelling of 206465490 in words is "two hundred six million, four hundred sixty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 9931 10395 19862 20790 29793 49655 59586 69517 89379 99310 109241 139034 148965 178758 208551 218482 268137 297930 327723 347585 417102 446895 536274 546205 625653 655446 695170 764687 893790 983169 1042755 1092410 1251306 1340685 1529374 1638615 1876959 1966338 2085510 2294061 2681370 2949507 3128265 3277230 3753918 3823435 4588122 4915845 5899014 6256530 6882183 7646870 9384795 9831690 11470305 13764366 14747535 18769590 20646549 22940610 29495070 34410915 41293098 68821830 103232745 206465490