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2428420 = 225121421
BaseRepresentation
bin1001010000111000000100
311120101011111
421100320010
51110202140
6124014404
726432641
oct11207004
94511144
102428420
111409565
12991404
13670447
14472dc8
1532e7ea
hex250e04

2428420 has 12 divisors (see below), whose sum is σ = 5099724. Its totient is φ = 971360.

The previous prime is 2428417. The next prime is 2428427. The reversal of 2428420 is 248242.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 1976836 = 672^2 + 1406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2428391 and 2428400.

It is not an unprimeable number, because it can be changed into a prime (2428427) 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 3 ways as a sum of consecutive naturals, for example, 60691 + ... + 60730.

It is an arithmetic number, because the mean of its divisors is an integer number (424977).

22428420 is an apocalyptic number.

2428420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2428420 is an abundant number, since it is smaller than the sum of its proper divisors (2671304).

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

2428420 is a wasteful number, since it uses less digits than its factorization.

2428420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121430 (or 121428 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2428420 is about 1558.3388591702. The cubic root of 2428420 is about 134.4129977273.

The spelling of 2428420 in words is "two million, four hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 121421 242842 485684 607105 1214210 2428420