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1106120 = 23527653
BaseRepresentation
bin100001110000011001000
32002012022102
410032003020
5240343440
635412532
712254561
oct4160310
92065272
101106120
11696054
12454148
132c9612
1420b168
1516cb15
hex10e0c8

1106120 has 16 divisors (see below), whose sum is σ = 2488860. Its totient is φ = 442432.

The previous prime is 1106101. The next prime is 1106129. The reversal of 1106120 is 216011.

It can be written as a sum of positive squares in 2 ways, for example, as 917764 + 188356 = 958^2 + 434^2 .

It is not an unprimeable number, because it can be changed into a prime (1106129) 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 3 ways as a sum of consecutive naturals, for example, 13787 + ... + 13866.

21106120 is an apocalyptic number.

1106120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106120 is an abundant number, since it is smaller than the sum of its proper divisors (1382740).

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

1106120 is a wasteful number, since it uses less digits than its factorization.

1106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27664 (or 27660 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1106120 is about 1051.7223968329. The cubic root of 1106120 is about 103.4190986425.

The spelling of 1106120 in words is "one million, one hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 27653 55306 110612 138265 221224 276530 553060 1106120