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12697256 = 23112131009
BaseRepresentation
bin110000011011…
…111010101000
3212220002100202
4300123322220
511222303011
61132051332
7212632145
oct60337250
925802322
1012697256
117192700
124303b48
132827490
1419873cc
1511ac23b
hexc1bea8

12697256 has 48 divisors (see below), whose sum is σ = 28209300. Its totient is φ = 5322240.

The previous prime is 12697207. The next prime is 12697261. The reversal of 12697256 is 65279621.

It is a happy number.

12697256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11628100 + 1069156 = 3410^2 + 1034^2 .

It is a super-2 number, since 2×126972562 = 322440619859072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12080 + ... + 13088.

Almost surely, 212697256 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 12697256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104650).

12697256 is an abundant number, since it is smaller than the sum of its proper divisors (15512044).

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

12697256 is a wasteful number, since it uses less digits than its factorization.

12697256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 12697256 is about 3563.3209229594. The cubic root of 12697256 is about 233.2938509159.

The spelling of 12697256 in words is "twelve million, six hundred ninety-seven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1009 1144 1573 2018 3146 4036 6292 8072 11099 12584 13117 22198 26234 44396 52468 88792 104936 122089 144287 244178 288574 488356 577148 976712 1154296 1587157 3174314 6348628 12697256