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12738096 = 2432712637
BaseRepresentation
bin110000100101…
…111000110000
3212222011101100
4300211320300
511230104341
61133004400
7213162210
oct60457060
925864340
1012738096
117210358
124323700
13283cc47
141998240
1511b93b6
hexc25e30

12738096 has 60 divisors (see below), whose sum is σ = 40744912. Its totient is φ = 3639168.

The previous prime is 12738059. The next prime is 12738119. The reversal of 12738096 is 69083721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12738096.

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, 5311 + ... + 7326.

Almost surely, 212738096 is an apocalyptic number.

12738096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12738096 is an abundant number, since it is smaller than the sum of its proper divisors (28006816).

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

12738096 is a wasteful number, since it uses less digits than its factorization.

12738096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12658 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12738096 is about 3569.0469316051. The cubic root of 12738096 is about 233.5437086795.

The spelling of 12738096 in words is "twelve million, seven hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12637 25274 37911 50548 75822 88459 101096 113733 151644 176918 202192 227466 265377 303288 353836 454932 530754 606576 707672 796131 909864 1061508 1415344 1592262 1819728 2123016 3184524 4246032 6369048 12738096