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2168820 = 2232512049
BaseRepresentation
bin1000010001011111110100
311002012001200
420101133310
51023400240
6114252500
724302043
oct10213764
94065050
102168820
111251515
12887130
135ac234
1440655a
152cc930
hex2117f4

2168820 has 36 divisors (see below), whose sum is σ = 6579300. Its totient is φ = 578304.

The previous prime is 2168819. The next prime is 2168827. The reversal of 2168820 is 288612.

2168820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 1028196 = 1068^2 + 1014^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168827) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5845 + ... + 6204.

22168820 is an apocalyptic number.

2168820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168820 is an abundant number, since it is smaller than the sum of its proper divisors (4410480).

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

2168820 is a wasteful number, since it uses less digits than its factorization.

2168820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2168820 is about 1472.6914137049. The cubic root of 2168820 is about 129.4417879620.

The spelling of 2168820 in words is "two million, one hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12049 24098 36147 48196 60245 72294 108441 120490 144588 180735 216882 240980 361470 433764 542205 722940 1084410 2168820