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2128512 = 27323241
BaseRepresentation
bin1000000111101010000000
311000010202210
420013222000
51021103022
6113342120
724043401
oct10075200
94003683
102128512
111224201
12867940
13596a99
143d59a8
152c0a0c
hex207a80

2128512 has 64 divisors (see below), whose sum is σ = 5924160. Its totient is φ = 675840.

The previous prime is 2128501. The next prime is 2128531. The reversal of 2128512 is 2158212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 8712 + ... + 8952.

It is an arithmetic number, because the mean of its divisors is an integer number (92565).

22128512 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 2128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962080).

2128512 is an abundant number, since it is smaller than the sum of its proper divisors (3795648).

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

2128512 is a wasteful number, since it uses less digits than its factorization.

2128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 2128512 is about 1458.9420824693. The cubic root of 2128512 is about 128.6348667539.

The spelling of 2128512 in words is "two million, one hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 241 276 368 384 482 552 723 736 964 1104 1446 1472 1928 2208 2892 2944 3856 4416 5543 5784 7712 8832 11086 11568 15424 16629 22172 23136 30848 33258 44344 46272 66516 88688 92544 133032 177376 266064 354752 532128 709504 1064256 2128512