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14131832 = 23112131123
BaseRepresentation
bin110101111010…
…001001111000
3222120222020012
4311322021320
512104204312
61222521052
7231055451
oct65721170
928528205
1014131832
117a82500
124896188
132c0a440
141c3c128
151392322
hexd7a278

14131832 has 48 divisors (see below), whose sum is σ = 31393320. Its totient is φ = 5924160.

The previous prime is 14131823. The next prime is 14131889. The reversal of 14131832 is 23813141.

It is a junction number, because it is equal to n+sod(n) for n = 14131798 and 14131807.

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 11 ways as a sum of consecutive naturals, for example, 12023 + ... + 13145.

Almost surely, 214131832 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 14131832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696660).

14131832 is an abundant number, since it is smaller than the sum of its proper divisors (17261488).

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

14131832 is a wasteful number, since it uses less digits than its factorization.

14131832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1149 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 14131832 is about 3759.2329004732. The cubic root of 14131832 is about 241.7683734142.

Adding to 14131832 its reverse (23813141), we get a palindrome (37944973).

The spelling of 14131832 in words is "fourteen million, one hundred thirty-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1123 1144 1573 2246 3146 4492 6292 8984 12353 12584 14599 24706 29198 49412 58396 98824 116792 135883 160589 271766 321178 543532 642356 1087064 1284712 1766479 3532958 7065916 14131832