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1090728 = 233215149
BaseRepresentation
bin100001010010010101000
32001102012100
410022102220
5234400403
635213400
712161652
oct4122250
92042170
101090728
11685531
12447260
132c2602
142056d2
151682a3
hex10a4a8

1090728 has 24 divisors (see below), whose sum is σ = 2954250. Its totient is φ = 363552.

The previous prime is 1090721. The next prime is 1090757. The reversal of 1090728 is 8270901.

It can be written as a sum of positive squares in only one way, i.e., 842724 + 248004 = 918^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1090721) 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 5 ways as a sum of consecutive naturals, for example, 7503 + ... + 7646.

21090728 is an apocalyptic number.

1090728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1090728 is an abundant number, since it is smaller than the sum of its proper divisors (1863522).

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

1090728 is a wasteful number, since it uses less digits than its factorization.

1090728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1090728 is about 1044.3792414636. The cubic root of 1090728 is about 102.9371533538.

The spelling of 1090728 in words is "one million, ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15149 30298 45447 60596 90894 121192 136341 181788 272682 363576 545364 1090728