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13218084 = 223211291151
BaseRepresentation
bin110010011011…
…000100100100
3220212112210200
4302123010210
511340434314
61151150500
7220231455
oct62330444
926775720
1013218084
117508a40
124515430
13297a569
141a8112c
151261709
hexc9b124

13218084 has 72 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3864000.

The previous prime is 13218083. The next prime is 13218089. The reversal of 13218084 is 48081231.

It is not an unprimeable number, because it can be changed into a prime (13218083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10909 + ... + 12059.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 213218084 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 13218084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13218084 is an abundant number, since it is smaller than the sum of its proper divisors (24521436).

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

13218084 is a wasteful number, since it uses less digits than its factorization.

13218084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13218084 is about 3635.6683017019. The cubic root of 13218084 is about 236.4410263169.

The spelling of 13218084 in words is "thirteen million, two hundred eighteen thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1151 1276 1914 2302 2871 3453 3828 4604 5742 6906 10359 11484 12661 13812 20718 25322 33379 37983 41436 50644 66758 75966 100137 113949 133516 151932 200274 227898 300411 367169 400548 455796 600822 734338 1101507 1201644 1468676 2203014 3304521 4406028 6609042 13218084