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12539268 = 22327172927
BaseRepresentation
bin101111110101…
…010110000100
3212121001122100
4233311112010
511202224033
61124432100
7211403430
oct57652604
925531570
1012539268
117094a35
124248630
1327a05b1
1419459c0
15117a513
hexbf5584

12539268 has 72 divisors (see below), whose sum is σ = 38368512. Its totient is φ = 3370752.

The previous prime is 12539257. The next prime is 12539279. The reversal of 12539268 is 86293521.

It is an interprime number because it is at equal distance from previous prime (12539257) and next prime (12539279).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821 + ... + 5747.

It is an arithmetic number, because the mean of its divisors is an integer number (532896).

Almost surely, 212539268 is an apocalyptic number.

12539268 is a gapful number since it is divisible by the number (18) 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 12539268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184256).

12539268 is an abundant number, since it is smaller than the sum of its proper divisors (25829244).

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

12539268 is a wasteful number, since it uses less digits than its factorization.

12539268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2956 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12539268 is about 3541.0828852203. The cubic root of 12539268 is about 232.3222088587.

It can be divided in two parts, 125 and 39268, that added together give a palindrome (39393).

The spelling of 12539268 in words is "twelve million, five hundred thirty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 2927 4284 5854 8781 11708 17562 20489 26343 35124 40978 49759 52686 61467 81956 99518 105372 122934 149277 184401 199036 245868 298554 348313 368802 447831 597108 696626 737604 895662 1044939 1393252 1791324 2089878 3134817 4179756 6269634 12539268