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1085064 = 233291559
BaseRepresentation
bin100001000111010001000
32001010102120
410020322020
5234210224
635131240
712136311
oct4107210
92033376
101085064
11681252
12443b20
132bcb66
14203608
15166779
hex108e88

1085064 has 32 divisors (see below), whose sum is σ = 2808000. Its totient is φ = 348992.

The previous prime is 1085053. The next prime is 1085101. The reversal of 1085064 is 4605801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

21085064 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 1085064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404000).

1085064 is an abundant number, since it is smaller than the sum of its proper divisors (1722936).

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

1085064 is a wasteful number, since it uses less digits than its factorization.

1085064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1085064 is about 1041.6640533301. The cubic root of 1085064 is about 102.7586645626.

The spelling of 1085064 in words is "one million, eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1559 3118 4677 6236 9354 12472 18708 37416 45211 90422 135633 180844 271266 361688 542532 1085064