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2125820 = 225106291
BaseRepresentation
bin1000000110111111111100
311000000002002
420012333330
51021011240
6113321432
724032504
oct10067774
94000062
102125820
111222184
12866278
135957a8
143d4a04
152bed15
hex206ffc

2125820 has 12 divisors (see below), whose sum is σ = 4464264. Its totient is φ = 850320.

The previous prime is 2125819. The next prime is 2125831. The reversal of 2125820 is 285212.

It is a super-2 number, since 2×21258202 = 9038221344800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 106291 = 2125820 / (2 + 1 + 2 + 5 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2125792 and 2125801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53126 + ... + 53165.

It is an arithmetic number, because the mean of its divisors is an integer number (372022).

22125820 is an apocalyptic number.

2125820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125820 is an abundant number, since it is smaller than the sum of its proper divisors (2338444).

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

2125820 is a wasteful number, since it uses less digits than its factorization.

2125820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106300 (or 106298 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2125820 is about 1458.0192042631. The cubic root of 2125820 is about 128.5806142761.

The spelling of 2125820 in words is "two million, one hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 106291 212582 425164 531455 1062910 2125820