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14105728 = 277213173
BaseRepresentation
bin110101110011…
…110010000000
3222112122102101
4311303302000
512102340403
61222200144
7230616400
oct65636200
928478371
1014105728
117a6492a
124883054
132bcb5b0
141c32800
15138971d
hexd73c80

14105728 has 96 divisors (see below), whose sum is σ = 35407260. Its totient is φ = 5548032.

The previous prime is 14105683. The next prime is 14105753. The reversal of 14105728 is 82750141.

It can be written as a sum of positive squares in 2 ways, for example, as 14077504 + 28224 = 3752^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14105696 and 14105705.

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 11 ways as a sum of consecutive naturals, for example, 81450 + ... + 81622.

Almost surely, 214105728 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 14105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703630).

14105728 is an abundant number, since it is smaller than the sum of its proper divisors (21301532).

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

14105728 is a wasteful number, since it uses less digits than its factorization.

14105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 14105728 is about 3755.7593107120. The cubic root of 14105728 is about 241.6194186401.

Adding to 14105728 its reverse (82750141), we get a palindrome (96855869).

The spelling of 14105728 in words is "fourteen million, one hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 173 182 196 208 224 346 364 392 416 448 637 692 728 784 832 896 1211 1274 1384 1456 1568 1664 2249 2422 2548 2768 2912 3136 4498 4844 5096 5536 5824 6272 8477 8996 9688 10192 11072 11648 15743 16954 17992 19376 20384 22144 31486 33908 35984 38752 40768 62972 67816 71968 77504 81536 110201 125944 135632 143936 155008 220402 251888 271264 287872 440804 503776 542528 881608 1007552 1085056 1763216 2015104 3526432 7052864 14105728