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12413296 = 247137809
BaseRepresentation
bin101111010110…
…100101110000
3212100122211201
4233112211300
511134211141
61122020544
7210340240
oct57264560
925318751
1012413296
117009325
1241a7754
13275815c
141911b20
151153031
hexbd6970

12413296 has 40 divisors (see below), whose sum is σ = 27721440. Its totient is φ = 5274624.

The previous prime is 12413287. The next prime is 12413321. The reversal of 12413296 is 69231421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14940 + ... + 15748.

It is an arithmetic number, because the mean of its divisors is an integer number (693036).

Almost surely, 212413296 is an apocalyptic number.

12413296 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 12413296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860720).

12413296 is an abundant number, since it is smaller than the sum of its proper divisors (15308144).

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

12413296 is a wasteful number, since it uses less digits than its factorization.

12413296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 12413296 is about 3523.2507716596. The cubic root of 12413296 is about 231.5416037943.

The spelling of 12413296 in words is "twelve million, four hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 809 959 1096 1618 1918 2192 3236 3836 5663 6472 7672 11326 12944 15344 22652 45304 90608 110833 221666 443332 775831 886664 1551662 1773328 3103324 6206648 12413296