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2162128 = 24177949
BaseRepresentation
bin1000001111110111010000
311001211212211
420033313100
51023142003
6114201504
724243403
oct10176720
94054784
102162128
111247491
12883294
135a9187
14403d3a
152ca96d
hex20fdd0

2162128 has 20 divisors (see below), whose sum is σ = 4436100. Its totient is φ = 1017344.

The previous prime is 2162119. The next prime is 2162137. The reversal of 2162128 is 8212612.

2162128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2162119) and next prime (2162137).

It can be written as a sum of positive squares in 2 ways, for example, as 1373584 + 788544 = 1172^2 + 888^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2162099 and 2162108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3703 + ... + 4246.

It is an arithmetic number, because the mean of its divisors is an integer number (221805).

22162128 is an apocalyptic number.

It is an amenable number.

2162128 is an abundant number, since it is smaller than the sum of its proper divisors (2273972).

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

2162128 is a wasteful number, since it uses less digits than its factorization.

2162128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7968 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 2162128 is about 1470.4176277507. The cubic root of 2162128 is about 129.3085178118.

The spelling of 2162128 in words is "two million, one hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 7949 15898 31796 63592 127184 135133 270266 540532 1081064 2162128