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12991296 = 26371953
BaseRepresentation
bin110001100011…
…101101000000
3220110000201010
4301203231000
511311210141
61142240520
7215265333
oct61435500
926400633
1012991296
11737360a
124426140
1328cb276
141a2261a
151219416
hexc63b40

12991296 has 56 divisors (see below), whose sum is σ = 34893504. Its totient is φ = 4264960.

The previous prime is 12991291. The next prime is 12991331. The reversal of 12991296 is 69219921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12991291) 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, 13156 + ... + 14108.

Almost surely, 212991296 is an apocalyptic number.

12991296 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 12991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446752).

12991296 is an abundant number, since it is smaller than the sum of its proper divisors (21902208).

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

12991296 is an equidigital number, since it uses as much as digits as its factorization.

12991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its digits is 17496, while the sum is 39.

The square root of 12991296 is about 3604.3440457315. The cubic root of 12991296 is about 235.0809800890.

The spelling of 12991296 in words is "twelve million, nine hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 953 1136 1704 1906 2272 2859 3408 3812 4544 5718 6816 7624 11436 13632 15248 22872 30496 45744 60992 67663 91488 135326 182976 202989 270652 405978 541304 811956 1082608 1623912 2165216 3247824 4330432 6495648 12991296