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1828060 = 225137989
BaseRepresentation
bin110111110010011011100
310102212121221
412332103130
5431444220
6103103124
721352423
oct6762334
93385557
101828060
1110394a3
12741aa4
134c00c0
143582ba
152619aa
hex1be4dc

1828060 has 48 divisors (see below), whose sum is σ = 4233600. Its totient is φ = 658944.

The previous prime is 1828051. The next prime is 1828069. The reversal of 1828060 is 608281.

It is an interprime number because it is at equal distance from previous prime (1828051) and next prime (1828069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20496 + ... + 20584.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

21828060 is an apocalyptic number.

1828060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116800).

1828060 is an abundant number, since it is smaller than the sum of its proper divisors (2405540).

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

1828060 is a wasteful number, since it uses less digits than its factorization.

1828060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1828060 is about 1352.0576910768. The cubic root of 1828060 is about 122.2728819683.

Adding to 1828060 its product of nonzero digits (768), we get a triangular number (1828828 = T1912).

The spelling of 1828060 in words is "one million, eight hundred twenty-eight thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 89 130 158 178 260 316 356 395 445 790 890 1027 1157 1580 1780 2054 2314 4108 4628 5135 5785 7031 10270 11570 14062 20540 23140 28124 35155 70310 91403 140620 182806 365612 457015 914030 1828060