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12128984 = 237593671
BaseRepresentation
bin101110010001…
…001011011000
3211211012211122
4232101023120
511101111414
61111544412
7205044320
oct56211330
924735748
1012128984
11693475a
12408b108
13268891a
14187a280
1510e8b8e
hexb912d8

12128984 has 32 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 5108640.

The previous prime is 12128969. The next prime is 12129017. The reversal of 12128984 is 48982121.

It is a super-2 number, since 2×121289842 = 294224505744512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1469 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 212128984 is an apocalyptic number.

12128984 is a gapful number since it is divisible by the number (14) 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 12128984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

12128984 is an abundant number, since it is smaller than the sum of its proper divisors (14309416).

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

12128984 is a wasteful number, since it uses less digits than its factorization.

12128984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3739 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 12128984 is about 3482.6690913723. The cubic root of 12128984 is about 229.7602037634.

The spelling of 12128984 in words is "twelve million, one hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 3671 7342 14684 25697 29368 51394 102788 205576 216589 433178 866356 1516123 1732712 3032246 6064492 12128984