[go: up one dir, main page]

Search a number
-
+
12242160 = 2432572347
BaseRepresentation
bin101110101100…
…110011110000
3212000222002100
4232230303300
511113222120
61114220400
7206025300
oct56546360
925028070
1012242160
116a01797
124124700
1326c82a8
1418a9600
15111c490
hexbaccf0

12242160 has 180 divisors, whose sum is σ = 47963448. Its totient is φ = 2790144.

The previous prime is 12242123. The next prime is 12242161. The reversal of 12242160 is 6124221.

It is a tau number, because it is divible by the number of its divisors (180).

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 (12242161) 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 35 ways as a sum of consecutive naturals, for example, 35107 + ... + 35453.

Almost surely, 212242160 is an apocalyptic number.

12242160 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 12242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23981724).

12242160 is an abundant number, since it is smaller than the sum of its proper divisors (35721288).

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

12242160 is a wasteful number, since it uses less digits than its factorization.

12242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12242160 is about 3498.8798207426. The cubic root of 12242160 is about 230.4726261208.

Adding to 12242160 its reverse (6124221), we get a palindrome (18366381).

The spelling of 12242160 in words is "twelve million, two hundred forty-two thousand, one hundred sixty".