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1075021020 = 223255972339
BaseRepresentation
bin100000000010011…
…1000010011011100
32202220211201121100
41000010320103130
54200201133040
6254401233100
735432346033
oct10004702334
92686751540
101075021020
11501904227
12260032790
13141946218
14a2ab971a
156459eb30
hex401384dc

1075021020 has 36 divisors (see below), whose sum is σ = 3260897640. Its totient is φ = 286672224.

The previous prime is 1075021009. The next prime is 1075021049. The reversal of 1075021020 is 201205701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10750210203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1075020984 and 1075021002.

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 11 ways as a sum of consecutive naturals, for example, 2985990 + ... + 2986349.

It is an arithmetic number, because the mean of its divisors is an integer number (90580490).

Almost surely, 21075021020 is an apocalyptic number.

1075021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075021020 is an abundant number, since it is smaller than the sum of its proper divisors (2185876620).

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

1075021020 is a wasteful number, since it uses less digits than its factorization.

1075021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972354 (or 5972349 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1075021020 is about 32787.5131719379. The cubic root of 1075021020 is about 1024.4064840789.

Adding to 1075021020 its reverse (201205701), we get a palindrome (1276226721).

The spelling of 1075021020 in words is "one billion, seventy-five million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5972339 11944678 17917017 23889356 29861695 35834034 53751051 59723390 71668068 89585085 107502102 119446780 179170170 215004204 268755255 358340340 537510510 1075021020