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20683134 = 2331921061
BaseRepresentation
bin100111011100…
…1100101111110
31102220210221000
41032321211332
520243330014
62015151130
7340542453
oct116714576
942823830
1020683134
11107475aa
126b154a6
134392354
142a6582a
151c38509
hex13b997e

20683134 has 48 divisors (see below), whose sum is σ = 48554640. Its totient is φ = 6525360.

The previous prime is 20683127. The next prime is 20683139. The reversal of 20683134 is 43138602.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20683098 and 20683107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20683139) 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, 18964 + ... + 20024.

It is an arithmetic number, because the mean of its divisors is an integer number (1011555).

Almost surely, 220683134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20683134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24277320).

20683134 is an abundant number, since it is smaller than the sum of its proper divisors (27871506).

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

20683134 is a wasteful number, since it uses less digits than its factorization.

20683134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20683134 is about 4547.8713702127. The cubic root of 20683134 is about 274.4977455099.

The spelling of 20683134 in words is "twenty million, six hundred eighty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1061 1083 2122 2166 3183 3249 6366 6498 9549 9747 19098 19494 20159 28647 40318 57294 60477 120954 181431 362862 383021 544293 766042 1088586 1149063 2298126 3447189 6894378 10341567 20683134