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2830128 = 24378423
BaseRepresentation
bin1010110010111100110000
312022210012120
422302330300
51211031003
6140354240
733025050
oct12627460
95283176
102830128
111663354
12b45980
13781242
14539560
153ad853
hex2b2f30

2830128 has 40 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 808512.

The previous prime is 2830123. The next prime is 2830129. The reversal of 2830128 is 8210382.

2830128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2830098 and 2830107.

It is not an unprimeable number, because it can be changed into a prime (2830123) 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 7 ways as a sum of consecutive naturals, for example, 3876 + ... + 4547.

22830128 is an apocalyptic number.

2830128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2830128 is an abundant number, since it is smaller than the sum of its proper divisors (5526480).

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

2830128 is a wasteful number, since it uses less digits than its factorization.

2830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2830128 is about 1682.2984277470. The cubic root of 2830128 is about 141.4496984778.

The spelling of 2830128 in words is "two million, eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 8423 16846 25269 33692 50538 58961 67384 101076 117922 134768 176883 202152 235844 353766 404304 471688 707532 943376 1415064 2830128