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13081296 = 2431722341
BaseRepresentation
bin110001111001…
…101011010000
3220121121011110
4301321223100
511322100141
61144213320
7216121614
oct61715320
926547143
1013081296
117425198
12446a240
132930217
141a47344
151235e16
hexc79ad0

13081296 has 120 divisors (see below), whose sum is σ = 38372544. Its totient is φ = 3829760.

The previous prime is 13081283. The next prime is 13081297. The reversal of 13081296 is 69218031.

13081296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130812962 = 342240610079232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13081297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319036 + ... + 319076.

Almost surely, 213081296 is an apocalyptic number.

13081296 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 13081296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186272).

13081296 is an abundant number, since it is smaller than the sum of its proper divisors (25291248).

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

13081296 is a wasteful number, since it uses less digits than its factorization.

13081296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13081296 is about 3616.8074319764. The cubic root of 13081296 is about 235.6225893366.

The spelling of 13081296 in words is "thirteen million, eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 41 46 48 51 68 69 82 92 102 123 136 138 164 184 204 246 272 276 289 328 368 391 408 492 552 578 656 697 782 816 867 943 984 1104 1156 1173 1394 1564 1734 1886 1968 2091 2312 2346 2788 2829 3128 3468 3772 4182 4624 4692 5576 5658 6256 6647 6936 7544 8364 9384 11152 11316 11849 13294 13872 15088 16031 16728 18768 19941 22632 23698 26588 32062 33456 35547 39882 45264 47396 48093 53176 64124 71094 79764 94792 96186 106352 128248 142188 159528 189584 192372 256496 272527 284376 319056 384744 545054 568752 769488 817581 1090108 1635162 2180216 3270324 4360432 6540648 13081296