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12774096 = 2432432063
BaseRepresentation
bin110000101110…
…101011010000
3220000222202200
4300232223100
511232232341
61133443200
7213402156
oct60565320
926028680
1012774096
117235405
124340500
13285344a
1419a73d6
1511c4db6
hexc2ead0

12774096 has 60 divisors (see below), whose sum is σ = 36598848. Its totient is φ = 4156992.

The previous prime is 12774079. The next prime is 12774101. The reversal of 12774096 is 69047721.

It is a happy number.

It is a super-3 number, since 3×127740963 (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12774096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5161 + ... + 7223.

Almost surely, 212774096 is an apocalyptic number.

12774096 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 12774096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299424).

12774096 is an abundant number, since it is smaller than the sum of its proper divisors (23824752).

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

12774096 is a wasteful number, since it uses less digits than its factorization.

12774096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12774096 is about 3574.0867364965. The cubic root of 12774096 is about 233.7635129977.

The spelling of 12774096 in words is "twelve million, seven hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2063 2064 3096 4126 6189 6192 8252 12378 16504 18567 24756 33008 37134 49512 74268 88709 99024 148536 177418 266127 297072 354836 532254 709672 798381 1064508 1419344 1596762 2129016 3193524 4258032 6387048 12774096