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12089232 = 2432372269
BaseRepresentation
bin101110000111…
…011110010000
3211202012022100
4232013132100
511043323412
61111040400
7204520401
oct56073620
924665270
1012089232
116907901
124070100
1326737bc
1418699a8
1510dbedc
hexb87790

12089232 has 60 divisors (see below), whose sum is σ = 34762780. Its totient is φ = 3919104.

The previous prime is 12089197. The next prime is 12089239. The reversal of 12089232 is 23298021.

It is a happy number.

12089232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 6780816 = 2304^2 + 2604^2 .

It is a super-2 number, since 2×120892322 = 292299060699648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12089196 and 12089205.

It is not an unprimeable number, because it can be changed into a prime (12089239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4194 + ... + 6462.

Almost surely, 212089232 is an apocalyptic number.

12089232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12089232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381390).

12089232 is an abundant number, since it is smaller than the sum of its proper divisors (22673548).

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

12089232 is a wasteful number, since it uses less digits than its factorization.

12089232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12089232 is about 3476.9572905056. The cubic root of 12089232 is about 229.5089207235.

It can be divided in two parts, 12089 and 232, that added together give a palindrome (12321).

The spelling of 12089232 in words is "twelve million, eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2269 2664 4538 5328 6807 9076 13614 18152 20421 27228 36304 40842 54456 81684 83953 108912 163368 167906 251859 326736 335812 503718 671624 755577 1007436 1343248 1511154 2014872 3022308 4029744 6044616 12089232