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14057728 = 2889617
BaseRepresentation
bin110101101000…
…000100000000
3222110012120121
4311220010000
512044321403
61221150024
7230326426
oct65500400
928405517
1014057728
117a31863
12485b314
132bb27a9
141c1d116
15137a3bd
hexd68100

14057728 has 36 divisors (see below), whose sum is σ = 28421820. Its totient is φ = 6938624.

The previous prime is 14057713. The next prime is 14057731. The reversal of 14057728 is 82775041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 12730624 = 1152^2 + 3568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14057693 and 14057702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22476 + ... + 23092.

It is an arithmetic number, because the mean of its divisors is an integer number (789495).

Almost surely, 214057728 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 14057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210910).

14057728 is an abundant number, since it is smaller than the sum of its proper divisors (14364092).

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

14057728 is an frugal number, since it uses more digits than its factorization.

14057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 14057728 is about 3749.3636793461. The cubic root of 14057728 is about 241.3450404531.

The spelling of 14057728 in words is "fourteen million, fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 617 712 1234 1424 2468 2848 4936 5696 9872 11392 19744 22784 39488 54913 78976 109826 157952 219652 439304 878608 1757216 3514432 7028864 14057728