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12104316 = 22367593
BaseRepresentation
bin101110001011…
…001001111100
3211202222000000
4232023021330
511044314231
61111234300
7204612360
oct56131174
924688000
1012104316
116918174
124078990
13267a623
1418712a0
1510e16e6
hexb8b27c

12104316 has 84 divisors (see below), whose sum is σ = 36357552. Its totient is φ = 3452544.

The previous prime is 12104303. The next prime is 12104317. The reversal of 12104316 is 61340121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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 (12104317) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 20116 + ... + 20708.

It is an arithmetic number, because the mean of its divisors is an integer number (432828).

Almost surely, 212104316 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 12104316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178776).

12104316 is an abundant number, since it is smaller than the sum of its proper divisors (24253236).

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

12104316 is an equidigital number, since it uses as much as digits as its factorization.

12104316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

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

The square root of 12104316 is about 3479.1257522544. The cubic root of 12104316 is about 229.6043354894.

Adding to 12104316 its reverse (61340121), we get a palindrome (73444437).

The spelling of 12104316 in words is "twelve million, one hundred four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 593 729 756 972 1134 1186 1458 1701 1779 2268 2372 2916 3402 3558 4151 5103 5337 6804 7116 8302 10206 10674 12453 16011 16604 20412 21348 24906 32022 37359 48033 49812 64044 74718 96066 112077 144099 149436 192132 224154 288198 336231 432297 448308 576396 672462 864594 1008693 1344924 1729188 2017386 3026079 4034772 6052158 12104316