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20788131 = 371376147
BaseRepresentation
bin100111101001…
…1001110100011
31110010010221210
41033103032203
520310210011
62021321203
7341460540
oct117231643
943103853
1020788131
1110809481
126b66203
1343cb090
142a91bc7
151c596a6
hex13d33a3

20788131 has 16 divisors (see below), whose sum is σ = 34114304. Its totient is φ = 10965024.

The previous prime is 20788063. The next prime is 20788133. The reversal of 20788131 is 13188702.

It is a happy number.

It is not a de Polignac number, because 20788131 - 27 = 20788003 is a prime.

It is a super-2 number, since 2×207881312 = 864292780946322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20788133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37801 + ... + 38346.

It is an arithmetic number, because the mean of its divisors is an integer number (2132144).

Almost surely, 220788131 is an apocalyptic number.

20788131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20788131 is a deficient number, since it is larger than the sum of its proper divisors (13326173).

20788131 is a wasteful number, since it uses less digits than its factorization.

20788131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76170.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 20788131 is about 4559.4002895118. The cubic root of 20788131 is about 274.9614535504.

The spelling of 20788131 in words is "twenty million, seven hundred eighty-eight thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 76147 228441 533029 989911 1599087 2969733 6929377 20788131