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12716256 = 2537127149
BaseRepresentation
bin110000100000…
…100011100000
3212221001102110
4300200203200
511223410011
61132315320
7213041430
oct60404340
925831373
1012716256
1171a5a03
124312b40
132833017
1419902c0
1511b2ba6
hexc208e0

12716256 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 3580416.

The previous prime is 12716233. The next prime is 12716257. The reversal of 12716256 is 65261721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12716257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85270 + ... + 85418.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 212716256 is an apocalyptic number.

12716256 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 12716256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

12716256 is an abundant number, since it is smaller than the sum of its proper divisors (25990944).

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

12716256 is a wasteful number, since it uses less digits than its factorization.

12716256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 12716256 is about 3565.9859786600. The cubic root of 12716256 is about 233.4101588293.

Adding to 12716256 its reverse (65261721), we get a palindrome (77977977).

The spelling of 12716256 in words is "twelve million, seven hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 149 168 224 254 298 336 381 447 508 596 672 762 889 894 1016 1043 1192 1524 1778 1788 2032 2086 2384 2667 3048 3129 3556 3576 4064 4172 4768 5334 6096 6258 7112 7152 8344 10668 12192 12516 14224 14304 16688 18923 21336 25032 28448 33376 37846 42672 50064 56769 75692 85344 100128 113538 132461 151384 227076 264922 302768 397383 454152 529844 605536 794766 908304 1059688 1589532 1816608 2119376 3179064 4238752 6358128 12716256