Search a number
-
+
1828188 = 2232431181
BaseRepresentation
bin110111110010101011100
310102212210200
412332111130
5432000223
6103103500
721352665
oct6762534
93385720
101828188
1110395aa
12741b90
134c018b
1435836c
15261a43
hex1be55c

1828188 has 36 divisors (see below), whose sum is σ = 4732728. Its totient is φ = 594720.

The previous prime is 1828153. The next prime is 1828193. The reversal of 1828188 is 8818281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 958 + ... + 2138.

21828188 is an apocalyptic number.

1828188 is a gapful number since it is divisible by the number (18) 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 1828188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366364).

1828188 is an abundant number, since it is smaller than the sum of its proper divisors (2904540).

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

1828188 is a wasteful number, since it uses less digits than its factorization.

1828188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 1828188 is about 1352.1050255065. The cubic root of 1828188 is about 122.2757357338.

It can be divided in two parts, 1828 and 188, that added together give a triangular number (2016 = T63).

The spelling of 1828188 in words is "one million, eight hundred twenty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1181 1548 2362 3543 4724 7086 10629 14172 21258 42516 50783 101566 152349 203132 304698 457047 609396 914094 1828188