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12664288 = 257134349
BaseRepresentation
bin110000010011…
…110111100000
3212211102010201
4300103313200
511220224123
61131234544
7212434060
oct60236740
925742121
1012664288
11716a95a
1242a8a54
132815480
1419793a0
1511a25ad
hexc13de0

12664288 has 48 divisors (see below), whose sum is σ = 30693600. Its totient is φ = 5008896.

The previous prime is 12664277. The next prime is 12664307. The reversal of 12664288 is 88246621.

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, 738 + ... + 5086.

It is an arithmetic number, because the mean of its divisors is an integer number (639450).

Almost surely, 212664288 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 12664288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346800).

12664288 is an abundant number, since it is smaller than the sum of its proper divisors (18029312).

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

12664288 is a wasteful number, since it uses less digits than its factorization.

12664288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4371 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 12664288 is about 3558.6918945028. The cubic root of 12664288 is about 233.0917626860.

It can be divided in two parts, 1266428 and 8, that added together give a triangular number (1266436 = T1591).

The spelling of 12664288 in words is "twelve million, six hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4349 8698 17396 30443 34792 56537 60886 69584 113074 121772 139168 226148 243544 395759 452296 487088 791518 904592 974176 1583036 1809184 3166072 6332144 12664288