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2163128 = 231147523
BaseRepresentation
bin1000010000000110111000
311001220020212
420100012320
51023210003
6114210252
724246332
oct10200670
94056225
102163128
111248210
12883988
135a9776
14404452
152cadd8
hex2101b8

2163128 has 32 divisors (see below), whose sum is σ = 4527360. Its totient is φ = 960480.

The previous prime is 2163113. The next prime is 2163137. The reversal of 2163128 is 8213612.

It is a congruent number.

It is an unprimeable number.

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, 3875 + ... + 4397.

It is an arithmetic number, because the mean of its divisors is an integer number (141480).

22163128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263680).

2163128 is an abundant number, since it is smaller than the sum of its proper divisors (2364232).

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

2163128 is a wasteful number, since it uses less digits than its factorization.

2163128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 2163128 is about 1470.7576278911. The cubic root of 2163128 is about 129.3284501173.

The spelling of 2163128 in words is "two million, one hundred sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 523 1034 1046 2068 2092 4136 4184 5753 11506 23012 24581 46024 49162 98324 196648 270391 540782 1081564 2163128