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1828332 = 22371119
BaseRepresentation
bin110111110010111101100
310102220000000
412332113230
5432001312
6103104300
721353262
oct6762754
93386000
101828332
111039720
12742090
134c026c
14358432
15261adc
hex1be5ec

1828332 has 96 divisors (see below), whose sum is σ = 5510400. Its totient is φ = 524880.

The previous prime is 1828331. The next prime is 1828361. The reversal of 1828332 is 2338281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1828296 and 1828305.

It is not an unprimeable number, because it can be changed into a prime (1828331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96219 + ... + 96237.

It is an arithmetic number, because the mean of its divisors is an integer number (57400).

21828332 is an apocalyptic number.

1828332 is a gapful number since it is divisible by the number (12) 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 1828332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755200).

1828332 is an abundant number, since it is smaller than the sum of its proper divisors (3682068).

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

1828332 is a wasteful number, since it uses less digits than its factorization.

1828332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 35 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1828332 is about 1352.1582747593. The cubic root of 1828332 is about 122.2789460607.

The spelling of 1828332 in words is "one million, eight hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 243 297 324 342 396 418 486 513 594 627 684 729 836 891 972 1026 1188 1254 1458 1539 1782 1881 2052 2187 2508 2673 2916 3078 3564 3762 4374 4617 5346 5643 6156 7524 8019 8748 9234 10692 11286 13851 16038 16929 18468 22572 24057 27702 32076 33858 41553 48114 50787 55404 67716 83106 96228 101574 152361 166212 203148 304722 457083 609444 914166 1828332