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20712186 = 2341159197
BaseRepresentation
bin100111100000…
…0101011111010
31102222021210000
41033000223322
520300242221
62015533430
7341023245
oct117005372
942867700
1020712186
1110767410
126b2a276
1343a2641
142a7225c
151c41e26
hex13c0afa

20712186 has 80 divisors (see below), whose sum is σ = 51749280. Its totient is φ = 6138720.

The previous prime is 20712163. The next prime is 20712187. The reversal of 20712186 is 68121702.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20712187) 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 39 ways as a sum of consecutive naturals, for example, 105040 + ... + 105236.

It is an arithmetic number, because the mean of its divisors is an integer number (646866).

Almost surely, 220712186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20712186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25874640).

20712186 is an abundant number, since it is smaller than the sum of its proper divisors (31037094).

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

20712186 is a wasteful number, since it uses less digits than its factorization.

20712186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20712186 is about 4551.0642711348. The cubic root of 20712186 is about 274.6262073054.

Adding to 20712186 its reverse (68121702), we get a palindrome (88833888).

The spelling of 20712186 in words is "twenty million, seven hundred twelve thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 197 198 297 354 394 531 591 594 649 891 1062 1182 1298 1593 1773 1782 1947 2167 3186 3546 3894 4334 4779 5319 5841 6501 9558 10638 11623 11682 13002 15957 17523 19503 23246 31914 34869 35046 39006 52569 58509 69738 104607 105138 117018 127853 175527 209214 255706 313821 351054 383559 627642 767118 941463 1150677 1882926 2301354 3452031 6904062 10356093 20712186