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12954336 = 253235867
BaseRepresentation
bin110001011010…
…101011100000
3220101011000020
4301122223200
511304014321
61141353440
7215052513
oct61325340
926334006
1012954336
11734886a
124408880
1328b74b5
141a12d7a
15120d4c6
hexc5aae0

12954336 has 48 divisors (see below), whose sum is σ = 35489664. Its totient is φ = 4129664.

The previous prime is 12954299. The next prime is 12954343. The reversal of 12954336 is 63345921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12954297 and 12954306.

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 7 ways as a sum of consecutive naturals, for example, 726 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (739368).

Almost surely, 212954336 is an apocalyptic number.

12954336 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 12954336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744832).

12954336 is an abundant number, since it is smaller than the sum of its proper divisors (22535328).

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

12954336 is a wasteful number, since it uses less digits than its factorization.

12954336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5895 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 12954336 is about 3599.2132473639. The cubic root of 12954336 is about 234.8578346409.

The spelling of 12954336 in words is "twelve million, nine hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5867 11734 17601 23468 35202 46936 70404 93872 134941 140808 187744 269882 281616 404823 539764 563232 809646 1079528 1619292 2159056 3238584 4318112 6477168 12954336