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12115728 = 243284137
BaseRepresentation
bin101110001101…
…111100010000
3211210112122200
4232031330100
511100200403
61111403200
7204660552
oct56157420
924715580
1012115728
1169257a9
124083500
132682891
1418754d2
1510e4ca3
hexb8df10

12115728 has 30 divisors (see below), whose sum is σ = 33907614. Its totient is φ = 4038528.

The previous prime is 12115693. The next prime is 12115729. The reversal of 12115728 is 82751121.

12115728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 501264 = 3408^2 + 708^2 .

It is not an unprimeable number, because it can be changed into a prime (12115729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41925 + ... + 42212.

Almost surely, 212115728 is an apocalyptic number.

12115728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12115728 is an abundant number, since it is smaller than the sum of its proper divisors (21791886).

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

12115728 is a wasteful number, since it uses less digits than its factorization.

12115728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84151 (or 84142 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 12115728 is about 3480.7654330621. The cubic root of 12115728 is about 229.6764701353.

Adding to 12115728 its reverse (82751121), we get a palindrome (94866849).

The spelling of 12115728 in words is "twelve million, one hundred fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84137 168274 252411 336548 504822 673096 757233 1009644 1346192 1514466 2019288 3028932 4038576 6057864 12115728