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12298320 = 24325192931
BaseRepresentation
bin101110111010…
…100001010000
3212010211010100
4232322201100
511122021240
61115332400
7206351106
oct56724120
925124110
1012298320
116a3aa01
124151100
132717a18
1418c1c76
15112de30
hexbba850

12298320 has 240 divisors, whose sum is σ = 46425600. Its totient is φ = 2903040.

The previous prime is 12298309. The next prime is 12298333. The reversal of 12298320 is 2389221.

It is a happy number.

12298320 is a nontrivial binomial coefficient, being equal to C(4960, 2).

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 16.

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 47 ways as a sum of consecutive naturals, for example, 396705 + ... + 396735.

It is an arithmetic number, because the mean of its divisors is an integer number (193440).

Almost surely, 212298320 is an apocalyptic number.

12298320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12298320 is the 4959-th triangular number and also the 2480-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

12298320 is an abundant number, since it is smaller than the sum of its proper divisors (34127280).

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

12298320 is a wasteful number, since it uses less digits than its factorization.

12298320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12298320 is about 3506.8960634727. The cubic root of 12298320 is about 230.8245139348.

Subtracting from 12298320 its reverse (2389221), we obtain a palindrome (9909099).

The spelling of 12298320 in words is "twelve million, two hundred ninety-eight thousand, three hundred twenty".