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20789838 = 2331923881
BaseRepresentation
bin100111101001…
…1101001001110
31110010020022000
41033103221032
520310233323
62021333130
7341465526
oct117235116
943106260
1020789838
111080a793
126b671a6
1343cbaa4
142a92686
151c59e43
hex13d3a4e

20789838 has 64 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 6272640.

The previous prime is 20789801. The next prime is 20789843. The reversal of 20789838 is 83898702.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20789793 and 20789802.

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, 23158 + ... + 24038.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 220789838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20789838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

20789838 is an abundant number, since it is smaller than the sum of its proper divisors (30013362).

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

20789838 is a wasteful number, since it uses less digits than its factorization.

20789838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 20789838 is about 4559.5874813408. The cubic root of 20789838 is about 274.9689794211.

It can be divided in two parts, 207898 and 38, that added together give a square (207936 = 4562).

The spelling of 20789838 in words is "twenty million, seven hundred eighty-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 881 1026 1242 1311 1762 2622 2643 3933 5286 7866 7929 11799 15858 16739 20263 23598 23787 33478 40526 47574 50217 60789 100434 121578 150651 182367 301302 364734 384997 451953 547101 769994 903906 1094202 1154991 2309982 3464973 6929946 10394919 20789838