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20682096 = 2435967109
BaseRepresentation
bin100111011100…
…1010101110000
31102220202111120
41032321111300
520243311341
62015142240
7340536441
oct116712560
942822446
1020682096
1110746846
126b14980
134391a36
142a652c8
151c38066
hex13b9570

20682096 has 80 divisors (see below), whose sum is σ = 55651200. Its totient is φ = 6614784.

The previous prime is 20682071. The next prime is 20682119. The reversal of 20682096 is 69028602.

20682096 is a nontrivial binomial coefficient, being equal to C(6432, 2).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 189690 + ... + 189798.

It is an arithmetic number, because the mean of its divisors is an integer number (695640).

Almost surely, 220682096 is an apocalyptic number.

20682096 is the 6431-st triangular number and also the 3216-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825600).

20682096 is an abundant number, since it is smaller than the sum of its proper divisors (34969104).

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

20682096 is a wasteful number, since it uses less digits than its factorization.

20682096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20682096 is about 4547.7572494582. The cubic root of 20682096 is about 274.4931534684.

The spelling of 20682096 in words is "twenty million, six hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 67 109 118 134 177 201 218 236 268 327 354 402 436 472 536 654 708 804 872 944 1072 1308 1416 1608 1744 2616 2832 3216 3953 5232 6431 7303 7906 11859 12862 14606 15812 19293 21909 23718 25724 29212 31624 38586 43818 47436 51448 58424 63248 77172 87636 94872 102896 116848 154344 175272 189744 308688 350544 430877 861754 1292631 1723508 2585262 3447016 5170524 6894032 10341048 20682096