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14999168 = 271761113
BaseRepresentation
bin111001001101…
…111010000000
31001020000222202
4321031322000
512314433133
61253252332
7241330232
oct71157200
931200882
1014999168
118515108
1250340a8
133152162
141dc6252
1514b42e8
hexe4de80

14999168 has 64 divisors (see below), whose sum is σ = 32442120. Its totient is φ = 6881280.

The previous prime is 14999167. The next prime is 14999183. The reversal of 14999168 is 86199941.

It can be written as a sum of positive squares in 4 ways, for example, as 6190144 + 8809024 = 2488^2 + 2968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14999161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 132680 + ... + 132792.

Almost surely, 214999168 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 14999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221060).

14999168 is an abundant number, since it is smaller than the sum of its proper divisors (17442952).

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

14999168 is a wasteful number, since it uses less digits than its factorization.

14999168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its digits is 139968, while the sum is 47.

The square root of 14999168 is about 3872.8759339798. The cubic root of 14999168 is about 246.6166475966.

The spelling of 14999168 in words is "fourteen million, nine hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 113 122 128 136 226 244 272 452 488 544 904 976 1037 1088 1808 1921 1952 2074 2176 3616 3842 3904 4148 6893 7232 7684 7808 8296 13786 14464 15368 16592 27572 30736 33184 55144 61472 66368 110288 117181 122944 132736 220576 234362 245888 441152 468724 882304 937448 1874896 3749792 7499584 14999168