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13163216 = 2411292579
BaseRepresentation
bin110010001101…
…101011010000
3220202202112112
4302031223100
511332210331
61150044452
7216612503
oct62155320
926682475
1013163216
1174807a0
1244a9728
13295b5b1
141a6913a
15125032b
hexc8dad0

13163216 has 40 divisors (see below), whose sum is σ = 28792800. Its totient is φ = 5774720.

The previous prime is 13163201. The next prime is 13163221. The reversal of 13163216 is 61236131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13163191 and 13163200.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3815 + ... + 6393.

It is an arithmetic number, because the mean of its divisors is an integer number (719820).

Almost surely, 213163216 is an apocalyptic number.

13163216 is a gapful number since it is divisible by the number (16) 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 13163216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396400).

13163216 is an abundant number, since it is smaller than the sum of its proper divisors (15629584).

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

13163216 is a wasteful number, since it uses less digits than its factorization.

13163216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2621 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 13163216 is about 3628.1146619146. The cubic root of 13163216 is about 236.1134186236.

Adding to 13163216 its reverse (61236131), we get a palindrome (74399347).

The spelling of 13163216 in words is "thirteen million, one hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 2579 5104 5158 10316 20632 28369 41264 56738 74791 113476 149582 226952 299164 453904 598328 822701 1196656 1645402 3290804 6581608 13163216