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14023168 = 2961449
BaseRepresentation
bin110101011111…
…101000000000
3222101110011121
4311133220000
512042220133
61220322024
7230123605
oct65375000
928343147
1014023168
117a088a5
124843314
132b9cb43
141c106ac
15137002d
hexd5fa00

14023168 has 40 divisors (see below), whose sum is σ = 28541700. Its totient is φ = 6881280.

The previous prime is 14023073. The next prime is 14023171. The reversal of 14023168 is 86132041.

It can be written as a sum of positive squares in 2 ways, for example, as 13191424 + 831744 = 3632^2 + 912^2 .

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 3 ways as a sum of consecutive naturals, for example, 31008 + ... + 31456.

Almost surely, 214023168 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 14023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270850).

14023168 is an abundant number, since it is smaller than the sum of its proper divisors (14518532).

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

14023168 is an frugal number, since it uses more digits than its factorization.

14023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 14023168 is about 3744.7520612185. The cubic root of 14023168 is about 241.1471011862.

The spelling of 14023168 in words is "fourteen million, twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 449 488 512 898 976 1796 1952 3592 3904 7184 7808 14368 15616 27389 28736 31232 54778 57472 109556 114944 219112 229888 438224 876448 1752896 3505792 7011584 14023168