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1075743305 = 57213225981
BaseRepresentation
bin100000000011110…
…1000101001001001
32202222012102101122
41000013220221021
54200342241210
6254424525025
735441444600
oct10007505111
92688172348
101075743305
1150225795a
12260320775
13141b39c00
14a2c26a37
1564693b55
hex401e8a49

1075743305 has 36 divisors (see below), whose sum is σ = 1626109452. Its totient is φ = 680883840.

The previous prime is 1075743299. The next prime is 1075743397. The reversal of 1075743305 is 5033475701.

It can be written as a sum of positive squares in 6 ways, for example, as 198161929 + 877581376 = 14077^2 + 29624^2 .

It is not a de Polignac number, because 1075743305 - 214 = 1075726921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian 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 35 ways as a sum of consecutive naturals, for example, 28415 + ... + 54395.

It is an arithmetic number, because the mean of its divisors is an integer number (45169707).

Almost surely, 21075743305 is an apocalyptic number.

It is an amenable number.

1075743305 is a deficient number, since it is larger than the sum of its proper divisors (550366147).

1075743305 is a wasteful number, since it uses less digits than its factorization.

1075743305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26026 (or 26006 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 1075743305 is about 32798.5259577317. The cubic root of 1075743305 is about 1024.6358587529.

The spelling of 1075743305 in words is "one billion, seventy-five million, seven hundred forty-three thousand, three hundred five".

Divisors: 1 5 7 13 35 49 65 91 169 245 455 637 845 1183 3185 5915 8281 25981 41405 129905 181867 337753 909335 1273069 1688765 2364271 4390789 6365345 11821355 16549897 21953945 30735523 82749485 153677615 215148661 1075743305