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12516264 = 23321311327
BaseRepresentation
bin101111101111…
…101110101000
3212112220002100
4233233232220
511201010024
61124133400
7211246365
oct57575650
925486070
1012516264
117079722
124237260
132792c97
14193b46c
1511737c9
hexbefba8

12516264 has 48 divisors (see below), whose sum is σ = 34182720. Its totient is φ = 4137120.

The previous prime is 12516263. The next prime is 12516271. The reversal of 12516264 is 46261521.

It is not an unprimeable number, because it can be changed into a prime (12516263) 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, 8769 + ... + 10095.

It is an arithmetic number, because the mean of its divisors is an integer number (712140).

Almost surely, 212516264 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 12516264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091360).

12516264 is an abundant number, since it is smaller than the sum of its proper divisors (21666456).

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

12516264 is a wasteful number, since it uses less digits than its factorization.

12516264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1463 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12516264 is about 3537.8332351879. The cubic root of 12516264 is about 232.1800524587.

Adding to 12516264 its reverse (46261521), we get a palindrome (58777785).

The spelling of 12516264 in words is "twelve million, five hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1327 1572 2358 2654 3144 3981 4716 5308 7962 9432 10616 11943 15924 23886 31848 47772 95544 173837 347674 521511 695348 1043022 1390696 1564533 2086044 3129066 4172088 6258132 12516264