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20682846 = 23217257263
BaseRepresentation
bin100111011100…
…1100001011110
31102220210112100
41032321201132
520243322341
62015145530
7340541562
oct116714136
942823470
1020682846
1110747368
126b152a6
134392192
142a656a2
151c383b6
hex13b985e

20682846 has 48 divisors (see below), whose sum is σ = 47814624. Its totient is φ = 6438912.

The previous prime is 20682803. The next prime is 20682847. The reversal of 20682846 is 64828602.

20682846 is nontrivially palindromic in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 20682846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20682847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78511 + ... + 78773.

It is an arithmetic number, because the mean of its divisors is an integer number (996138).

Almost surely, 220682846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20682846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23907312).

20682846 is an abundant number, since it is smaller than the sum of its proper divisors (27131778).

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

20682846 is a wasteful number, since it uses less digits than its factorization.

20682846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 20682846 is about 4547.8397069378. The cubic root of 20682846 is about 274.4964714328.

It can be divided in two parts, 20682 and 846, that added together give a triangular number (21528 = T207).

The spelling of 20682846 in words is "twenty million, six hundred eighty-two thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 257 263 306 514 526 771 789 1542 1578 2313 2367 4369 4471 4626 4734 8738 8942 13107 13413 26214 26826 39321 40239 67591 78642 80478 135182 202773 405546 608319 1149047 1216638 2298094 3447141 6894282 10341423 20682846