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12014320 = 245791901
BaseRepresentation
bin101101110101…
…001011110000
3211121101112211
4231311023300
511033424240
61105301504
7204056113
oct55651360
924541484
1012014320
11686659a
124034894
132648686
14184a57a
1510c4bea
hexb752f0

12014320 has 40 divisors (see below), whose sum is σ = 28301760. Its totient is φ = 4742400.

The previous prime is 12014311. The next prime is 12014339. The reversal of 12014320 is 2341021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12014320.

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 7 ways as a sum of consecutive naturals, for example, 5370 + ... + 7270.

It is an arithmetic number, because the mean of its divisors is an integer number (707544).

Almost surely, 212014320 is an apocalyptic number.

12014320 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 12014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14150880).

12014320 is an abundant number, since it is smaller than the sum of its proper divisors (16287440).

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

12014320 is a wasteful number, since it uses less digits than its factorization.

12014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12014320 is about 3466.1679128398. The cubic root of 12014320 is about 229.0338806872.

Adding to 12014320 its reverse (2341021), we get a palindrome (14355341).

The spelling of 12014320 in words is "twelve million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 1901 3160 3802 6320 7604 9505 15208 19010 30416 38020 76040 150179 152080 300358 600716 750895 1201432 1501790 2402864 3003580 6007160 12014320