Search a number
-
+
20788866 = 2337431279
BaseRepresentation
bin100111101001…
…1011010000010
31110010011222000
41033103122002
520310220431
62021324430
7341462640
oct117233202
943104860
1020788866
1110809a8a
126b66716
1343cb507
142a92190
151c599e6
hex13d3682

20788866 has 64 divisors (see below), whose sum is σ = 54067200. Its totient is φ = 5797008.

The previous prime is 20788847. The next prime is 20788877. The reversal of 20788866 is 66888702.

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, 15615 + ... + 16893.

It is an arithmetic number, because the mean of its divisors is an integer number (844800).

Almost surely, 220788866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20788866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27033600).

20788866 is an abundant number, since it is smaller than the sum of its proper divisors (33278334).

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

20788866 is a wasteful number, since it uses less digits than its factorization.

20788866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 20788866 is about 4559.4808915051. The cubic root of 20788866 is about 274.9646940900.

The spelling of 20788866 in words is "twenty million, seven hundred eighty-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1279 1806 2322 2558 2709 3837 5418 7674 8127 8953 11511 16254 17906 23022 26859 34533 53718 54997 69066 80577 109994 161154 164991 241731 329982 384979 483462 494973 769958 989946 1154937 1484919 2309874 2969838 3464811 6929622 10394433 20788866