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12557696 = 271729199
BaseRepresentation
bin101111111001…
…110110000000
3212121222220212
4233321312000
511203321241
61125053252
7211511234
oct57716600
925558825
1012557696
1170a7868
124257228
1327a8ab8
14194c5c4
151180beb
hexbf9d80

12557696 has 64 divisors (see below), whose sum is σ = 27540000. Its totient is φ = 5677056.

The previous prime is 12557693. The next prime is 12557707. The reversal of 12557696 is 69675521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12557693) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63005 + ... + 63203.

Almost surely, 212557696 is an apocalyptic number.

12557696 is a gapful number since it is divisible by the number (16) 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 12557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770000).

12557696 is an abundant number, since it is smaller than the sum of its proper divisors (14982304).

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

12557696 is a wasteful number, since it uses less digits than its factorization.

12557696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 113400, while the sum is 41.

The square root of 12557696 is about 3543.6839588203. The cubic root of 12557696 is about 232.4359618601.

The spelling of 12557696 in words is "twelve million, five hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 199 232 272 398 464 493 544 796 928 986 1088 1592 1856 1972 2176 3184 3383 3712 3944 5771 6368 6766 7888 11542 12736 13532 15776 23084 25472 27064 31552 46168 54128 63104 92336 98107 108256 184672 196214 216512 369344 392428 433024 738688 784856 1569712 3139424 6278848 12557696