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1100031440 = 24513750393
BaseRepresentation
bin100000110010001…
…0010010111010000
32211122220101110012
41001210102113100
54223102001230
6301053254052
736155053514
oct10144222720
92748811405
101100031440
11514a369a2
12268494328
13146b920a1
14a614a144
1566890395
hex419125d0

1100031440 has 20 divisors (see below), whose sum is σ = 2557573284. Its totient is φ = 440012544.

The previous prime is 1100031319. The next prime is 1100031469. The reversal of 1100031440 is 441300011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 605947456 + 494083984 = 24616^2 + 22228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6875117 + ... + 6875276.

Almost surely, 21100031440 is an apocalyptic number.

1100031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100031440 is an abundant number, since it is smaller than the sum of its proper divisors (1457541844).

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

1100031440 is a wasteful number, since it uses less digits than its factorization.

1100031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750406 (or 13750400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1100031440 is about 33166.7218760010. The cubic root of 1100031440 is about 1032.2899501769.

Adding to 1100031440 its reverse (441300011), we get a palindrome (1541331451).

The spelling of 1100031440 in words is "one billion, one hundred million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13750393 27500786 55001572 68751965 110003144 137503930 220006288 275007860 550015720 1100031440