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1028105607 = 331531671249
BaseRepresentation
bin111101010001111…
…010010110000111
32122122120011202110
4331101322112013
54101143334412
6250003512103
734322516304
oct7521722607
92578504673
101028105607
1148837aa61
12248388633
13134ccab19
149a7860ab
15603d3d3c
hex3d47a587

1028105607 has 32 divisors (see below), whose sum is σ = 1451520000. Its totient is φ = 646364160.

The previous prime is 1028105581. The next prime is 1028105609. The reversal of 1028105607 is 7065018201.

It is not a de Polignac number, because 1028105607 - 212 = 1028101511 is a prime.

It is a super-2 number, since 2×10281056072 = 2114002278289676898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028105609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822519 + ... + 823767.

It is an arithmetic number, because the mean of its divisors is an integer number (45360000).

Almost surely, 21028105607 is an apocalyptic number.

1028105607 is a deficient number, since it is larger than the sum of its proper divisors (423414393).

1028105607 is a wasteful number, since it uses less digits than its factorization.

1028105607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1028105607 is about 32064.0859373848. The cubic root of 1028105607 is about 1009.2821114980.

The spelling of 1028105607 in words is "one billion, twenty-eight million, one hundred five thousand, six hundred seven".

Divisors: 1 3 31 53 93 159 167 501 1249 1643 3747 4929 5177 8851 15531 26553 38719 66197 116157 198591 208583 274381 625749 823143 2052107 6156321 6466073 11054899 19398219 33164697 342701869 1028105607