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2126928 = 24373607
BaseRepresentation
bin1000000111010001010000
311000001121010
420013101100
51021030203
6113330520
724035646
oct10072120
94001533
102126928
111222aa1
12866a40
1359614b
143d5196
152c0303
hex207450

2126928 has 40 divisors (see below), whose sum is σ = 5579008. Its totient is φ = 698112.

The previous prime is 2126923. The next prime is 2126933. The reversal of 2126928 is 8296212.

It is an interprime number because it is at equal distance from previous prime (2126923) and next prime (2126933).

It is a junction number, because it is equal to n+sod(n) for n = 2126895 and 2126904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126923) 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, 3201 + ... + 3807.

22126928 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 2126928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789504).

2126928 is an abundant number, since it is smaller than the sum of its proper divisors (3452080).

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

2126928 is a wasteful number, since it uses less digits than its factorization.

2126928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2126928 is about 1458.3991223256. The cubic root of 2126928 is about 128.6029495908.

It can be divided in two parts, 212 and 6928, that added together give a triangular number (7140 = T119).

The spelling of 2126928 in words is "two million, one hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 607 876 1168 1214 1752 1821 2428 3504 3642 4856 7284 9712 14568 29136 44311 88622 132933 177244 265866 354488 531732 708976 1063464 2126928