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1835028 = 2233131307
BaseRepresentation
bin111000000000000010100
310110020012000
413000000110
5432210103
6103155300
721411636
oct7000024
93406160
101835028
111043758
12745b30
134c3320
1435aa56
15263aa3
hex1c0014

1835028 has 48 divisors (see below), whose sum is σ = 5127360. Its totient is φ = 564192.

The previous prime is 1835027. The next prime is 1835051. The reversal of 1835028 is 8205381.

It is a happy number.

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 = 1834992 and 1835010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1835027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (106820).

21835028 is an apocalyptic number.

1835028 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 1835028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563680).

1835028 is an abundant number, since it is smaller than the sum of its proper divisors (3292332).

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

1835028 is a wasteful number, since it uses less digits than its factorization.

1835028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1835028 is about 1354.6320533636. The cubic root of 1835028 is about 122.4280404808.

The spelling of 1835028 in words is "one million, eight hundred thirty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1307 1404 2614 3921 5228 7842 11763 15684 16991 23526 33982 35289 47052 50973 67964 70578 101946 141156 152919 203892 305838 458757 611676 917514 1835028