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1828120 = 23576529
BaseRepresentation
bin110111110010100011000
310102212201011
412332110120
5431444440
6103103304
721352540
oct6762430
93385634
101828120
111039548
12741b34
134c0138
14358320
152619ea
hex1be518

1828120 has 32 divisors (see below), whose sum is σ = 4701600. Its totient is φ = 626688.

The previous prime is 1828117. The next prime is 1828121. The reversal of 1828120 is 218281.

It is a junction number, because it is equal to n+sod(n) for n = 1828091 and 1828100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828121) 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, 2985 + ... + 3544.

It is an arithmetic number, because the mean of its divisors is an integer number (146925).

21828120 is an apocalyptic number.

1828120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828120 is an abundant number, since it is smaller than the sum of its proper divisors (2873480).

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

1828120 is a wasteful number, since it uses less digits than its factorization.

1828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1828120 is about 1352.0798792971. The cubic root of 1828120 is about 122.2742196874.

The spelling of 1828120 in words is "one million, eight hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 6529 13058 26116 32645 45703 52232 65290 91406 130580 182812 228515 261160 365624 457030 914060 1828120