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14128928 = 251124189
BaseRepresentation
bin110101111001…
…011100100000
3222120211020122
4311321130200
512104111203
61222455412
7231044132
oct65713440
928524218
1014128928
117a80300
124894568
132c09018
141c3b052
151391538
hexd79720

14128928 has 72 divisors (see below), whose sum is σ = 31672620. Its totient is φ = 6195200.

The previous prime is 14128903. The next prime is 14128937. The reversal of 14128928 is 82982141.

14128928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 2650384 = 3388^2 + 1628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158708 + ... + 158796.

Almost surely, 214128928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14128928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836310).

14128928 is an abundant number, since it is smaller than the sum of its proper divisors (17543692).

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

14128928 is a wasteful number, since it uses less digits than its factorization.

14128928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 14128928 is about 3758.8466316145. The cubic root of 14128928 is about 241.7518116678.

The spelling of 14128928 in words is "fourteen million, one hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 89 121 164 176 178 242 328 352 356 451 484 656 712 902 968 979 1312 1424 1804 1936 1958 2848 3608 3649 3872 3916 4961 7216 7298 7832 9922 10769 14432 14596 15664 19844 21538 29192 31328 39688 40139 43076 58384 79376 80278 86152 116768 158752 160556 172304 321112 344608 441529 642224 883058 1284448 1766116 3532232 7064464 14128928