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12130432 = 2797977
BaseRepresentation
bin101110010001…
…100010000000
3211211021211021
4232101202000
511101133212
61111555224
7205051456
oct56214200
924737737
1012130432
116935856
12408bb14
132689492
14187a9d6
1510e9307
hexb91880

12130432 has 32 divisors (see below), whose sum is σ = 24440220. Its totient is φ = 5996544.

The previous prime is 12130411. The next prime is 12130441. The reversal of 12130432 is 23403121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 678976 = 3384^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11928 + ... + 12904.

Almost surely, 212130432 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 12130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12220110).

12130432 is an abundant number, since it is smaller than the sum of its proper divisors (12309788).

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

12130432 is an frugal number, since it uses more digits than its factorization.

12130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 12130432 is about 3482.8769717003. The cubic root of 12130432 is about 229.7693465884.

Adding to 12130432 its reverse (23403121), we get a palindrome (35533553).

The spelling of 12130432 in words is "twelve million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 977 1552 1954 3104 3908 6208 7816 12416 15632 31264 62528 94769 125056 189538 379076 758152 1516304 3032608 6065216 12130432