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206125056 = 2113253211
BaseRepresentation
bin11000100100100…
…11100000000000
3112100212020102100
430102103200000
5410232000211
632241550400
75052014454
oct1422234000
9470766370
10206125056
11a6396895
1259045400
13339201b7
141d538664
1513169156
hexc493800

206125056 has 144 divisors (see below), whose sum is σ = 609434280. Its totient is φ = 67092480.

The previous prime is 206125001. The next prime is 206125079. The reversal of 206125056 is 650521602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2061250562 = 84975077422006272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976791 + ... + 977001.

Almost surely, 2206125056 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 206125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304717140).

206125056 is an abundant number, since it is smaller than the sum of its proper divisors (403309224).

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

206125056 is a wasteful number, since it uses less digits than its factorization.

206125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 206125056 is about 14357.0559656219. The cubic root of 206125056 is about 590.7135444306.

Adding to 206125056 its reverse (650521602), we get a palindrome (856646658).

The spelling of 206125056 in words is "two hundred six million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 211 212 256 288 318 384 422 424 477 512 576 633 636 768 844 848 954 1024 1152 1266 1272 1536 1688 1696 1899 1908 2048 2304 2532 2544 3072 3376 3392 3798 3816 4608 5064 5088 6144 6752 6784 7596 7632 9216 10128 10176 11183 13504 13568 15192 15264 18432 20256 20352 22366 27008 27136 30384 30528 33549 40512 40704 44732 54016 54272 60768 61056 67098 81024 81408 89464 100647 108032 108544 121536 122112 134196 162048 162816 178928 201294 216064 243072 244224 268392 324096 325632 357856 402588 432128 486144 488448 536784 648192 715712 805176 972288 976896 1073568 1296384 1431424 1610352 1944576 2147136 2862848 3220704 3889152 4294272 5725696 6441408 8588544 11451392 12882816 17177088 22902784 25765632 34354176 51531264 68708352 103062528 206125056