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206116056 = 23334779257
BaseRepresentation
bin11000100100100…
…01010011011000
3112100211210002000
430102101103120
5410231203211
632241441000
75051646306
oct1422212330
9470753060
10206116056
11a6390053
1259040160
1333919083
141d535276
1513166656
hexc4914d8

206116056 has 128 divisors (see below), whose sum is σ = 594432000. Its totient is φ = 66134016.

The previous prime is 206116051. The next prime is 206116063. The reversal of 206116056 is 650611602.

It is a happy number.

206116056 is a nontrivial binomial coefficient, being equal to C(20304, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206116051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801880 + ... + 802136.

It is an arithmetic number, because the mean of its divisors is an integer number (4644000).

Almost surely, 2206116056 is an apocalyptic number.

206116056 is the 20303-rd triangular number and also the 10152-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206116056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297216000).

206116056 is an abundant number, since it is smaller than the sum of its proper divisors (388315944).

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

206116056 is a wasteful number, since it uses less digits than its factorization.

206116056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 206116056 is about 14356.7425274677. The cubic root of 206116056 is about 590.7049469003.

Adding to 206116056 its reverse (650611602), we get a palindrome (856727658).

The spelling of 206116056 in words is "two hundred six million, one hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 79 94 108 141 158 188 216 237 257 282 316 376 423 474 514 564 632 711 771 846 948 1028 1128 1269 1422 1542 1692 1896 2056 2133 2313 2538 2844 3084 3384 3713 4266 4626 5076 5688 6168 6939 7426 8532 9252 10152 11139 12079 13878 14852 17064 18504 20303 22278 24158 27756 29704 33417 36237 40606 44556 48316 55512 60909 66834 72474 81212 89112 96632 100251 108711 121818 133668 144948 162424 182727 200502 217422 243636 267336 289896 326133 365454 401004 434844 487272 548181 652266 730908 802008 869688 954241 1096362 1304532 1461816 1908482 2192724 2609064 2862723 3816964 4385448 5725446 7633928 8588169 11450892 17176338 22901784 25764507 34352676 51529014 68705352 103058028 206116056