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14016500 = 225317297
BaseRepresentation
bin110101011101…
…111111110100
3222101010000122
4311131333310
512042012000
61220231112
7230065301
oct65357764
928333018
1014016500
117a03893
12483b498
132b99ab4
141c0c0a8
15136d085
hexd5dff4

14016500 has 72 divisors (see below), whose sum is σ = 32853912. Its totient is φ = 5222400.

The previous prime is 14016493. The next prime is 14016503. The reversal of 14016500 is 561041.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6210064 + 7806436 = 2492^2 + 2794^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14016503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144452 + ... + 144548.

Almost surely, 214016500 is an apocalyptic number.

14016500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14016500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426956).

14016500 is an abundant number, since it is smaller than the sum of its proper divisors (18837412).

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

14016500 is a wasteful number, since it uses less digits than its factorization.

14016500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 14016500 is about 3743.8616427427. The cubic root of 14016500 is about 241.1088734049.

Adding to 14016500 its reverse (561041), we get a palindrome (14577541).

The spelling of 14016500 in words is "fourteen million, sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 97 100 125 170 194 250 289 340 388 425 485 500 578 850 970 1156 1445 1649 1700 1940 2125 2425 2890 3298 4250 4850 5780 6596 7225 8245 8500 9700 12125 14450 16490 24250 28033 28900 32980 36125 41225 48500 56066 72250 82450 112132 140165 144500 164900 206125 280330 412250 560660 700825 824500 1401650 2803300 3504125 7008250 14016500