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13104216 = 2332374919
BaseRepresentation
bin110001111111…
…010001011000
3220122202121100
4301333101120
511323313331
61144511400
7216245466
oct61772130
926582540
1013104216
117440434
12447b560
13293a798
141a51836
15123cae6
hexc7f458

13104216 has 48 divisors (see below), whose sum is σ = 36457200. Its totient is φ = 4249152.

The previous prime is 13104209. The next prime is 13104251. The reversal of 13104216 is 61240131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (759525).

Almost surely, 213104216 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 13104216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228600).

13104216 is an abundant number, since it is smaller than the sum of its proper divisors (23352984).

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

13104216 is a wasteful number, since it uses less digits than its factorization.

13104216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13104216 is about 3619.9745855461. The cubic root of 13104216 is about 235.7601220583.

Adding to 13104216 its reverse (61240131), we get a palindrome (74344347).

The spelling of 13104216 in words is "thirteen million, one hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4919 9838 14757 19676 29514 39352 44271 59028 88542 118056 177084 182003 354168 364006 546009 728012 1092018 1456024 1638027 2184036 3276054 4368072 6552108 13104216