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12539136 = 28329563
BaseRepresentation
bin101111110101…
…010100000000
3212121001110110
4233311110000
511202223021
61124431320
7211403151
oct57652400
925531413
1012539136
117094925
124248540
1327a050c
141945928
15117a476
hexbf5500

12539136 has 72 divisors (see below), whose sum is σ = 34584480. Its totient is φ = 4028416.

The previous prime is 12539113. The next prime is 12539161. The reversal of 12539136 is 63193521.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 21991 + ... + 22553.

It is an arithmetic number, because the mean of its divisors is an integer number (480340).

Almost surely, 212539136 is an apocalyptic number.

12539136 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 12539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292240).

12539136 is an abundant number, since it is smaller than the sum of its proper divisors (22045344).

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

12539136 is an equidigital number, since it uses as much as digits as its factorization.

12539136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 12539136 is about 3541.0642468049. The cubic root of 12539136 is about 232.3213936427.

The spelling of 12539136 in words is "twelve million, five hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 563 696 768 928 1126 1392 1689 1856 2252 2784 3378 3712 4504 5568 6756 7424 9008 11136 13512 16327 18016 22272 27024 32654 36032 48981 54048 65308 72064 97962 108096 130616 144128 195924 216192 261232 391848 432384 522464 783696 1044928 1567392 2089856 3134784 4179712 6269568 12539136