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12689936 = 247293907
BaseRepresentation
bin110000011010…
…001000010000
3212212201022122
4300122020100
511222034221
61131553412
7212601620
oct60321020
925781278
1012689936
117188156
1242bb868
13282404c
141984880
1511a9eab
hexc1a210

12689936 has 40 divisors (see below), whose sum is σ = 29075520. Its totient is φ = 5249664.

The previous prime is 12689923. The next prime is 12689969. The reversal of 12689936 is 63998621.

It is a super-2 number, since 2×126899362 = 322068951368192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1295 + ... + 5201.

It is an arithmetic number, because the mean of its divisors is an integer number (726888).

Almost surely, 212689936 is an apocalyptic number.

12689936 is a gapful number since it is divisible by the number (16) 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 12689936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537760).

12689936 is an abundant number, since it is smaller than the sum of its proper divisors (16385584).

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

12689936 is a wasteful number, since it uses less digits than its factorization.

12689936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3945 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 12689936 is about 3562.2936431462. The cubic root of 12689936 is about 233.2490108008.

The spelling of 12689936 in words is "twelve million, six hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 3907 7814 15628 27349 31256 54698 62512 109396 113303 218792 226606 437584 453212 793121 906424 1586242 1812848 3172484 6344968 12689936