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20271132 = 22327257313
BaseRepresentation
bin100110101010…
…1000000011100
31102010212202200
41031111000130
520142134012
62002251500
7334205340
oct115250034
942125680
1020271132
1110496002
126956b90
13427996b
142999620
151ba63dc
hex135501c

20271132 has 72 divisors (see below), whose sum is σ = 58976736. Its totient is φ = 5750784.

The previous prime is 20271131. The next prime is 20271187. The reversal of 20271132 is 23117202.

It is a super-2 number, since 2×202711322 = 821837585122848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20271131) 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, 64608 + ... + 64920.

Almost surely, 220271132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20271132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29488368).

20271132 is an abundant number, since it is smaller than the sum of its proper divisors (38705604).

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

20271132 is a wasteful number, since it uses less digits than its factorization.

20271132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20271132 is about 4502.3473877523. The cubic root of 20271132 is about 272.6628692774.

Adding to 20271132 its reverse (23117202), we get a palindrome (43388334).

The spelling of 20271132 in words is "twenty million, two hundred seventy-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 257 313 514 626 771 939 1028 1252 1542 1799 1878 2191 2313 2817 3084 3598 3756 4382 4626 5397 5634 6573 7196 8764 9252 10794 11268 13146 16191 19719 21588 26292 32382 39438 64764 78876 80441 160882 241323 321764 482646 563087 723969 965292 1126174 1447938 1689261 2252348 2895876 3378522 5067783 6757044 10135566 20271132