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2163040 = 255111229
BaseRepresentation
bin1000010000000101100000
311001220010121
420100011200
51023204130
6114210024
724246145
oct10200540
94056117
102163040
111248140
12883914
135a9709
144043cc
152cad7a
hex210160

2163040 has 48 divisors (see below), whose sum is σ = 5579280. Its totient is φ = 785920.

The previous prime is 2163013. The next prime is 2163041. The reversal of 2163040 is 403612.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146 + ... + 2374.

It is an arithmetic number, because the mean of its divisors is an integer number (116235).

22163040 is an apocalyptic number.

2163040 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 2163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789640).

2163040 is an abundant number, since it is smaller than the sum of its proper divisors (3416240).

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

2163040 is a wasteful number, since it uses less digits than its factorization.

2163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2163040 is about 1470.7277110329. The cubic root of 2163040 is about 129.3266963210.

Adding to 2163040 its reverse (403612), we get a palindrome (2566652).

The spelling of 2163040 in words is "two million, one hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1229 1760 2458 4916 6145 9832 12290 13519 19664 24580 27038 39328 49160 54076 67595 98320 108152 135190 196640 216304 270380 432608 540760 1081520 2163040