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12025728 = 2732111373
BaseRepresentation
bin101101110111…
…111110000000
3211121222012100
4231313332000
511034310403
61105430400
7204134301
oct55677600
924558170
1012025728
116874120
12403b400
132650920
1418507a8
1510c82a3
hexb77f80

12025728 has 192 divisors, whose sum is σ = 41212080. Its totient is φ = 3317760.

The previous prime is 12025697. The next prime is 12025733. The reversal of 12025728 is 82752021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164700 + ... + 164772.

Almost surely, 212025728 is an apocalyptic number.

12025728 is a gapful number since it is divisible by the number (18) 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 12025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606040).

12025728 is an abundant number, since it is smaller than the sum of its proper divisors (29186352).

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

12025728 is a wasteful number, since it uses less digits than its factorization.

12025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12025728 is about 3467.8131437550. The cubic root of 12025728 is about 229.1063495399.

Adding to 12025728 its reverse (82752021), we get a palindrome (94777749).

The spelling of 12025728 in words is "twelve million, twenty-five thousand, seven hundred twenty-eight".