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13944500 = 22531672
BaseRepresentation
bin110101001100…
…011010110100
3222020110020222
4311030122310
512032211000
61214513512
7226345343
oct65143264
928213228
1013944500
117964789
124805898
132b730ab
141bcdb5a
151356a85
hexd4c6b4

13944500 has 36 divisors (see below), whose sum is σ = 30638244. Its totient is φ = 5544400.

The previous prime is 13944481. The next prime is 13944503. The reversal of 13944500 is 544931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13944500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 446224 + 13498276 = 668^2 + 3674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13944500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13944503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83417 + ... + 83583.

Almost surely, 213944500 is an apocalyptic number.

13944500 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 13944500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319122).

13944500 is an abundant number, since it is smaller than the sum of its proper divisors (16693744).

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

13944500 is an equidigital number, since it uses as much as digits as its factorization.

13944500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13944500 is about 3734.2335224246. The cubic root of 13944500 is about 240.6953215506.

The spelling of 13944500 in words is "thirteen million, nine hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 167 250 334 500 668 835 1670 3340 4175 8350 16700 20875 27889 41750 55778 83500 111556 139445 278890 557780 697225 1394450 2788900 3486125 6972250 13944500