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13200444 = 2232735023
BaseRepresentation
bin110010010110…
…110000111100
3220211122121100
4302112300330
511334403234
61150533100
7220126155
oct62266074
926748540
1013200444
1174a6764
124507190
13297251a
141a7892c
15125b399
hexc96c3c

13200444 has 36 divisors (see below), whose sum is σ = 33831616. Its totient is φ = 4339008.

The previous prime is 13200443. The next prime is 13200463. The reversal of 13200444 is 44400231.

13200444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200443) 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, 117 + ... + 5139.

Almost surely, 213200444 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 13200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915808).

13200444 is an abundant number, since it is smaller than the sum of its proper divisors (20631172).

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

13200444 is a wasteful number, since it uses less digits than its factorization.

13200444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13200444 is about 3633.2415278921. The cubic root of 13200444 is about 236.3357998597.

Adding to 13200444 its reverse (44400231), we get a palindrome (57600675).

The spelling of 13200444 in words is "thirteen million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5023 10046 15069 20092 30138 45207 60276 90414 180828 366679 733358 1100037 1466716 2200074 3300111 4400148 6600222 13200444