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1085328 = 24327537
BaseRepresentation
bin100001000111110010000
32001010210100
410020332100
5234212303
635132400
712140136
oct4107620
92033710
101085328
11681472
12444100
132c000a
14203756
151668a3
hex108f90

1085328 has 30 divisors (see below), whose sum is σ = 3037814. Its totient is φ = 361728.

The previous prime is 1085327. The next prime is 1085351. The reversal of 1085328 is 8235801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 898704 + 186624 = 948^2 + 432^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1085327) 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, 3625 + ... + 3912.

21085328 is an apocalyptic number.

1085328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1085328 is an abundant number, since it is smaller than the sum of its proper divisors (1952486).

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

1085328 is a wasteful number, since it uses less digits than its factorization.

1085328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7551 (or 7542 counting only the distinct ones).

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

The square root of 1085328 is about 1041.7907659410. The cubic root of 1085328 is about 102.7669977385.

The spelling of 1085328 in words is "one million, eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7537 15074 22611 30148 45222 60296 67833 90444 120592 135666 180888 271332 361776 542664 1085328