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1085056 = 2772173
BaseRepresentation
bin100001000111010000000
32001010102021
410020322000
5234210211
635131224
712136300
oct4107200
92033367
101085056
11681245
12443b14
132bcb5b
14203600
15166771
hex108e80

1085056 has 48 divisors (see below), whose sum is σ = 2529090. Its totient is φ = 462336.

The previous prime is 1085053. The next prime is 1085101. The reversal of 1085056 is 6505801.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 379456 = 840^2 + 616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1085056.

It is not an unprimeable number, because it can be changed into a prime (1085053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6186 + ... + 6358.

21085056 is an apocalyptic number.

1085056 is a gapful number since it is divisible by the number (16) 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 1085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264545).

1085056 is an abundant number, since it is smaller than the sum of its proper divisors (1444034).

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

1085056 is an equidigital number, since it uses as much as digits as its factorization.

1085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1085056 is about 1041.6602133133. The cubic root of 1085056 is about 102.7584120210.

The spelling of 1085056 in words is "one million, eighty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 173 196 224 346 392 448 692 784 896 1211 1384 1568 2422 2768 3136 4844 5536 6272 8477 9688 11072 16954 19376 22144 33908 38752 67816 77504 135632 155008 271264 542528 1085056