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2163160 = 235411319
BaseRepresentation
bin1000010000000111011000
311001220022001
420100013120
51023210120
6114210344
724246406
oct10200730
94056261
102163160
11124823a
128839b4
135a979c
14404476
152cae0a
hex2101d8

2163160 has 32 divisors (see below), whose sum is σ = 4989600. Its totient is φ = 843520.

The previous prime is 2163137. The next prime is 2163163. The reversal of 2163160 is 613612.

It is a super-2 number, since 2×21631602 = 9358522371200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 2299.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

22163160 is an apocalyptic number.

2163160 is a gapful number since it is divisible by the number (20) 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 2163160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494800).

2163160 is an abundant number, since it is smaller than the sum of its proper divisors (2826440).

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

2163160 is a wasteful number, since it uses less digits than its factorization.

2163160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2163160 is about 1470.7685065978. The cubic root of 2163160 is about 129.3290878497.

Adding to 2163160 its reverse (613612), we get a palindrome (2776772).

The spelling of 2163160 in words is "two million, one hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1319 1640 2638 5276 6595 10552 13190 26380 52760 54079 108158 216316 270395 432632 540790 1081580 2163160