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206001990 = 232519532273
BaseRepresentation
bin11000100011101…
…01011101000110
3112100121222121100
430101311131012
5410214030430
632235200530
75050662615
oct1421653506
9470558540
10206001990
11a6312387
1258ba6146
13338a918c
141d50587c
1513142960
hexc475746

206001990 has 96 divisors (see below), whose sum is σ = 574685280. Its totient is φ = 51038208.

The previous prime is 206001973. The next prime is 206002003. The reversal of 206001990 is 99100602.

It is a happy number.

206001990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 89494 + ... + 91766.

It is an arithmetic number, because the mean of its divisors is an integer number (5986305).

Almost surely, 2206001990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206001990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287342640).

206001990 is an abundant number, since it is smaller than the sum of its proper divisors (368683290).

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

206001990 is a wasteful number, since it uses less digits than its factorization.

206001990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 206001990 is about 14352.7694191748. The cubic root of 206001990 is about 590.5959601074.

The spelling of 206001990 in words is "two hundred six million, one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 53 57 90 95 106 114 159 171 190 265 285 318 342 477 530 570 795 855 954 1007 1590 1710 2014 2273 2385 3021 4546 4770 5035 6042 6819 9063 10070 11365 13638 15105 18126 20457 22730 30210 34095 40914 43187 45315 68190 86374 90630 102285 120469 129561 204570 215935 240938 259122 361407 388683 431870 602345 647805 722814 777366 1084221 1204690 1295610 1807035 1943415 2168442 2288911 3614070 3886830 4577822 5421105 6866733 10842210 11444555 13733466 20600199 22889110 34333665 41200398 68667330 103000995 206001990