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12623296 = 267191483
BaseRepresentation
bin110000001001…
…110111000000
3212202022220111
4300021313000
511212421141
61130321104
7212203420
oct60116700
925668814
1012623296
117142084
124289194
1327cc90a
141968480
151195381
hexc09dc0

12623296 has 56 divisors (see below), whose sum is σ = 30154880. Its totient is φ = 5121792.

The previous prime is 12623287. The next prime is 12623311. The reversal of 12623296 is 69232621.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7771 + ... + 9253.

It is an arithmetic number, because the mean of its divisors is an integer number (538480).

Almost surely, 212623296 is an apocalyptic number.

12623296 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 12623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077440).

12623296 is an abundant number, since it is smaller than the sum of its proper divisors (17531584).

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

12623296 is a wasteful number, since it uses less digits than its factorization.

12623296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1511 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 12623296 is about 3552.9278067532. The cubic root of 12623296 is about 232.8399989529.

The spelling of 12623296 in words is "twelve million, six hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 1483 2128 2966 4256 5932 8512 10381 11864 20762 23728 28177 41524 47456 56354 83048 94912 112708 166096 197239 225416 332192 394478 450832 664384 788956 901664 1577912 1803328 3155824 6311648 12623296