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1085024 = 2541827
BaseRepresentation
bin100001000111001100000
32001010101002
410020321200
5234210044
635131132
712136223
oct4107140
92033332
101085024
11681216
12443aa8
132bcb35
142035ba
1516674e
hex108e60

1085024 has 24 divisors (see below), whose sum is σ = 2190888. Its totient is φ = 528640.

The previous prime is 1085023. The next prime is 1085047. The reversal of 1085024 is 4205801.

1085024 is nontrivially palindromic in base 3.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1084987 and 1085005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 899 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (91287).

21085024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095444).

1085024 is an abundant number, since it is smaller than the sum of its proper divisors (1105864).

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

1085024 is an equidigital number, since it uses as much as digits as its factorization.

1085024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1085024 is about 1041.6448531049. The cubic root of 1085024 is about 102.7574018422.

The spelling of 1085024 in words is "one million, eighty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 827 1312 1654 3308 6616 13232 26464 33907 67814 135628 271256 542512 1085024