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16128396 = 22365531
BaseRepresentation
bin111101100001…
…100110001100
31010100102000000
4331201212030
513112102041
61333404300
7254042364
oct75414614
933312000
1016128396
119116559
125499690
13345913b
1421db9a4
151638bb6
hexf6198c

16128396 has 42 divisors (see below), whose sum is σ = 42325332. Its totient is φ = 5375160.

The previous prime is 16128391. The next prime is 16128407. The reversal of 16128396 is 69382161.

16128396 is a `hidden beast` number, since 1 + 612 + 8 + 39 + 6 = 666.

16128396 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16128396.

It is not an unprimeable number, because it can be changed into a prime (16128391) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 151 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (1007746).

Almost surely, 216128396 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 16128396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162666).

16128396 is an abundant number, since it is smaller than the sum of its proper divisors (26196936).

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

16128396 is an equidigital number, since it uses as much as digits as its factorization.

16128396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5536 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16128396 is about 4016.0174302411. The cubic root of 16128396 is about 252.6564517452.

Subtracting from 16128396 its sum of digits (36), we obtain a triangular number (16128360 = T5679).

The spelling of 16128396 in words is "sixteen million, one hundred twenty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5531 11062 16593 22124 33186 49779 66372 99558 149337 199116 298674 448011 597348 896022 1344033 1792044 2688066 4032099 5376132 8064198 16128396