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12613896 = 2332414273
BaseRepresentation
bin110000000111…
…100100001000
3212201212000100
4300013210020
511212121041
61130205400
7212134131
oct60074410
925655010
1012613896
117136009
124283860
1327c8559
141964c88
1511926b6
hexc07908

12613896 has 48 divisors (see below), whose sum is σ = 35004060. Its totient is φ = 4101120.

The previous prime is 12613883. The next prime is 12613897. The reversal of 12613896 is 69831621.

It can be written as a sum of positive squares in 2 ways, for example, as 10692900 + 1920996 = 3270^2 + 1386^2 .

It is a super-2 number, since 2×126138962 = 318220744597632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12613896.

It is not an unprimeable number, because it can be changed into a prime (12613897) 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, 816 + ... + 5088.

Almost surely, 212613896 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 12613896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502030).

12613896 is an abundant number, since it is smaller than the sum of its proper divisors (22390164).

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

12613896 is a wasteful number, since it uses less digits than its factorization.

12613896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4319 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12613896 is about 3551.6047077342. The cubic root of 12613896 is about 232.7821894476.

The spelling of 12613896 in words is "twelve million, six hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 4273 8546 12819 17092 25638 34184 38457 51276 76914 102552 153828 175193 307656 350386 525579 700772 1051158 1401544 1576737 2102316 3153474 4204632 6306948 12613896