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12669664 = 257163347
BaseRepresentation
bin110000010101…
…001011100000
3212211200111211
4300111023200
511220412124
61131315504
7212455540
oct60251340
925750454
1012669664
1171739a7
1242abb94
132817a57
14197b320
1511a3e94
hexc152e0

12669664 has 48 divisors (see below), whose sum is σ = 28764288. Its totient is φ = 5380992.

The previous prime is 12669659. The next prime is 12669667. The reversal of 12669664 is 46696621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12669667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36339 + ... + 36685.

It is an arithmetic number, because the mean of its divisors is an integer number (599256).

Almost surely, 212669664 is an apocalyptic number.

12669664 is a gapful number since it is divisible by the number (14) 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 12669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382144).

12669664 is an abundant number, since it is smaller than the sum of its proper divisors (16094624).

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

12669664 is a wasteful number, since it uses less digits than its factorization.

12669664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 12669664 is about 3559.4471480835. The cubic root of 12669664 is about 233.1247405642.

The spelling of 12669664 in words is "twelve million, six hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 347 652 694 1141 1304 1388 2282 2429 2608 2776 4564 4858 5216 5552 9128 9716 11104 18256 19432 36512 38864 56561 77728 113122 226244 395927 452488 791854 904976 1583708 1809952 3167416 6334832 12669664