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13326216 = 2333743349
BaseRepresentation
bin110010110101…
…011110001000
3221002001010120
4302311132020
511402414331
61153343240
7221161641
oct62653610
927061116
1013326216
117582202
124567b20
1329b7847
141aac6c8
151283796
hexcb5788

13326216 has 64 divisors (see below), whose sum is σ = 35112000. Its totient is φ = 4209408.

The previous prime is 13326211. The next prime is 13326217. The reversal of 13326216 is 61262331.

It is a happy number.

13326216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13326211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38010 + ... + 38358.

It is an arithmetic number, because the mean of its divisors is an integer number (548625).

Almost surely, 213326216 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 13326216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556000).

13326216 is an abundant number, since it is smaller than the sum of its proper divisors (21785784).

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

13326216 is a wasteful number, since it uses less digits than its factorization.

13326216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 13326216 is about 3650.5090056046. The cubic root of 13326216 is about 237.0840201308.

Adding to 13326216 its reverse (61262331), we get a palindrome (74588547).

The spelling of 13326216 in words is "thirteen million, three hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 222 258 296 344 349 444 516 698 888 1032 1047 1396 1591 2094 2792 3182 4188 4773 6364 8376 9546 12728 12913 15007 19092 25826 30014 38184 38739 45021 51652 60028 77478 90042 103304 120056 154956 180084 309912 360168 555259 1110518 1665777 2221036 3331554 4442072 6663108 13326216