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12708256 = 251179457
BaseRepresentation
bin110000011110…
…100110100000
3212220122110011
4300132212200
511223131011
61132214304
7213006211
oct60364640
925818404
1012708256
11719a9a0
12430a394
13282c4a2
14198b408
1511b0621
hexc1e9a0

12708256 has 48 divisors (see below), whose sum is σ = 27699840. Its totient is φ = 5690880.

The previous prime is 12708253. The next prime is 12708271. The reversal of 12708256 is 65280721.

It is a super-2 number, since 2×127082562 = 322999541123072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12708253) 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, 27580 + ... + 28036.

It is an arithmetic number, because the mean of its divisors is an integer number (577080).

Almost surely, 212708256 is an apocalyptic number.

12708256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12708256 is the 1906-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12708256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849920).

12708256 is an abundant number, since it is smaller than the sum of its proper divisors (14991584).

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

12708256 is a wasteful number, since it uses less digits than its factorization.

12708256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 12708256 is about 3564.8640927811. The cubic root of 12708256 is about 233.3612012067.

Adding to 12708256 its reverse (65280721), we get a palindrome (77988977).

The spelling of 12708256 in words is "twelve million, seven hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 457 632 869 914 1264 1738 1828 2528 3476 3656 5027 6952 7312 10054 13904 14624 20108 27808 36103 40216 72206 80432 144412 160864 288824 397133 577648 794266 1155296 1588532 3177064 6354128 12708256