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20765214 = 2331937547
BaseRepresentation
bin100111100110…
…1101000011110
31110001222112000
41033031220132
520303441324
62021023130
7341333661
oct117155036
943058460
1020765214
11107a3238
126b54aa6
1343c0812
142a876d8
151c529c9
hex13cda1e

20765214 has 64 divisors (see below), whose sum is σ = 49977600. Its totient is φ = 6368544.

The previous prime is 20765207. The next prime is 20765231. The reversal of 20765214 is 41256702.

20765214 is a `hidden beast` number, since 2 + 0 + 7 + 652 + 1 + 4 = 666.

It is a super-2 number, since 2×207652142 = 862388224931592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37689 + ... + 38235.

It is an arithmetic number, because the mean of its divisors is an integer number (780900).

Almost surely, 220765214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20765214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988800).

20765214 is an abundant number, since it is smaller than the sum of its proper divisors (29212386).

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

20765214 is a wasteful number, since it uses less digits than its factorization.

20765214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20765214 is about 4556.8864370313. The cubic root of 20765214 is about 274.8603765050.

The spelling of 20765214 in words is "twenty million, seven hundred sixty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 547 666 703 999 1026 1094 1406 1641 1998 2109 3282 4218 4923 6327 9846 10393 12654 14769 18981 20239 20786 29538 31179 37962 40478 60717 62358 93537 121434 182151 187074 280611 364302 384541 546453 561222 769082 1092906 1153623 2307246 3460869 6921738 10382607 20765214