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206006052 = 223759197211
BaseRepresentation
bin11000100011101…
…10011100100100
3112100122012011210
430101312130210
5410214143202
632235231420
75051010510
oct1421663444
9470565153
10206006052
11a631543a
1258ba8570
13338aac95
141d507140
1513143c6c
hexc476724

206006052 has 96 divisors (see below), whose sum is σ = 564157440. Its totient is φ = 57294720.

The previous prime is 206006041. The next prime is 206006057. The reversal of 206006052 is 250600602.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (206006057) by changing a digit.

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, 976227 + ... + 976437.

It is an arithmetic number, because the mean of its divisors is an integer number (5876640).

Almost surely, 2206006052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206006052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282078720).

206006052 is an abundant number, since it is smaller than the sum of its proper divisors (358151388).

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

206006052 is a wasteful number, since it uses less digits than its factorization.

206006052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 206006052 is about 14352.9109242690. The cubic root of 206006052 is about 590.5998419227.

Adding to 206006052 its reverse (250600602), we get a palindrome (456606654).

The spelling of 206006052 in words is "two hundred six million, six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 197 211 236 354 394 413 422 591 633 708 788 826 844 1182 1239 1266 1379 1477 1652 2364 2478 2532 2758 2954 4137 4431 4956 5516 5908 8274 8862 11623 12449 16548 17724 23246 24898 34869 37347 41567 46492 49796 69738 74694 81361 83134 87143 124701 139476 149388 162722 166268 174286 244083 249402 261429 290969 325444 348572 488166 498804 522858 581938 872907 976332 1045716 1163876 1745814 2452453 3491628 4904906 7357359 9809812 14714718 17167171 29429436 34334342 51501513 68668684 103003026 206006052