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12754896 = 24372111729
BaseRepresentation
bin110000101001…
…111111010000
3220000000102120
4300221333100
511231124041
61133214240
7213262200
oct60517720
926000376
1012754896
117221a40
124331380
13284779b
1419a0400
1511be366
hexc29fd0

12754896 has 240 divisors, whose sum is σ = 45800640. Its totient is φ = 3010560.

The previous prime is 12754883. The next prime is 12754897. The reversal of 12754896 is 69845721.

12754896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12754897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439810 + ... + 439838.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 212754896 is an apocalyptic number.

12754896 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 12754896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320).

12754896 is an abundant number, since it is smaller than the sum of its proper divisors (33045744).

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

12754896 is a wasteful number, since it uses less digits than its factorization.

12754896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 12754896 is about 3571.3997255978. The cubic root of 12754896 is about 233.6463354949.

The spelling of 12754896 in words is "twelve million, seven hundred fifty-four thousand, eight hundred ninety-six".