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1125648 = 24327817
BaseRepresentation
bin100010010110100010000
32010012002200
410102310100
5242010043
640043200
712365526
oct4226420
92105080
101125648
116a9797
12463500
13305484
14214316
151737d3
hex112d10

1125648 has 30 divisors (see below), whose sum is σ = 3150654. Its totient is φ = 375168.

The previous prime is 1125647. The next prime is 1125653. The reversal of 1125648 is 8465211.

1125648 is a `hidden beast` number, since 1 + 12 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 535824 = 768^2 + 732^2 .

It is not an unprimeable number, because it can be changed into a prime (1125647) 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, 3765 + ... + 4052.

21125648 is an apocalyptic number.

1125648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1125648 is an abundant number, since it is smaller than the sum of its proper divisors (2025006).

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

1125648 is a wasteful number, since it uses less digits than its factorization.

1125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7822 counting only the distinct ones).

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

The square root of 1125648 is about 1060.9655979343. The cubic root of 1125648 is about 104.0241561245.

It can be divided in two parts, 1125 and 648, that multiplied together give a cube (729000 = 903).

The spelling of 1125648 in words is "one million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7817 15634 23451 31268 46902 62536 70353 93804 125072 140706 187608 281412 375216 562824 1125648