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12104160 = 2535151167
BaseRepresentation
bin101110001011…
…000111100000
3211202221210020
4232023013200
511044313120
61111233440
7204612045
oct56130740
924687706
1012104160
116918042
124078880
13267a533
1418711cc
1510e1640
hexb8b1e0

12104160 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3187200.

The previous prime is 12104111. The next prime is 12104177. The reversal of 12104160 is 6140121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 72397 + ... + 72563.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 212104160 is an apocalyptic number.

12104160 is a gapful number since it is divisible by the number (10) 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 12104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

12104160 is an abundant number, since it is smaller than the sum of its proper divisors (26506272).

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

12104160 is a wasteful number, since it uses less digits than its factorization.

12104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12104160 is about 3479.1033327569. The cubic root of 12104160 is about 229.6033491076.

Adding to 12104160 its reverse (6140121), we get a palindrome (18244281).

The spelling of 12104160 in words is "twelve million, one hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 167 240 302 334 453 480 501 604 668 755 835 906 1002 1208 1336 1510 1670 1812 2004 2265 2416 2505 2672 3020 3340 3624 4008 4530 4832 5010 5344 6040 6680 7248 8016 9060 10020 12080 13360 14496 16032 18120 20040 24160 25217 26720 36240 40080 50434 72480 75651 80160 100868 126085 151302 201736 252170 302604 378255 403472 504340 605208 756510 806944 1008680 1210416 1513020 2017360 2420832 3026040 4034720 6052080 12104160