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2162160 = 2433571113
BaseRepresentation
bin1000001111110111110000
311001211221000
420033313300
51023142120
6114202000
724243450
oct10176760
94054830
102162160
111247510
12883300
135a91b0
14403d60
152ca990
hex20fdf0

2162160 has 320 divisors, whose sum is σ = 9999360. Its totient is φ = 414720.

The previous prime is 2162137. The next prime is 2162177. The reversal of 2162160 is 612612.

Adding to 2162160 its reverse (612612), we get a palindrome (2774772).

It is a happy number.

2162160 is a nontrivial binomial coefficient, being equal to C(2080, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166314 + ... + 166326.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2162160 is a highly composite number, because it has more divisors than any smaller number.

2162160 is a superabundant number, because it has a larger abundancy index than any smaller number.

22162160 is an apocalyptic number.

2162160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2162160 is the 2079-th triangular number and also the 1040-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

2162160 is an abundant number, since it is smaller than the sum of its proper divisors (7837200).

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

2162160 is a wasteful number, since it uses less digits than its factorization.

2162160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

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

The square root of 2162160 is about 1470.4285089728. The cubic root of 2162160 is about 129.3091557408.

The spelling of 2162160 in words is "two million, one hundred sixty-two thousand, one hundred sixty".