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20131188 = 22371121787
BaseRepresentation
bin100110011001…
…0110101110100
31101212202210120
41030302311310
520123144223
61555251540
7333053340
oct114626564
941782716
1020131188
11103aa950
1268a9bb0
13422b05c
142960620
151b79be3
hex1332d74

20131188 has 48 divisors (see below), whose sum is σ = 58566144. Its totient is φ = 5228640.

The previous prime is 20131147. The next prime is 20131207. The reversal of 20131188 is 88113102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9970 + ... + 11817.

It is an arithmetic number, because the mean of its divisors is an integer number (1220128).

Almost surely, 220131188 is an apocalyptic number.

20131188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20131188 is an abundant number, since it is smaller than the sum of its proper divisors (38434956).

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

20131188 is a wasteful number, since it uses less digits than its factorization.

20131188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21812 (or 21810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 20131188 is about 4486.7792457396. The cubic root of 20131188 is about 272.0339670672.

The spelling of 20131188 in words is "twenty million, one hundred thirty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 21787 43574 65361 87148 130722 152509 239657 261444 305018 457527 479314 610036 718971 915054 958628 1437942 1677599 1830108 2875884 3355198 5032797 6710396 10065594 20131188