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1072205888 = 26131288709
BaseRepresentation
bin111111111010001…
…001000001000000
32202201112200222012
4333322021001000
54143441042023
6254221032052
735366412455
oct7772110100
92681480865
101072205888
11500261176
1225b0b5628
1314119ba70
14a258582c
15641e5978
hex3fe89040

1072205888 has 28 divisors (see below), whose sum is σ = 2291326380. Its totient is φ = 494863872.

The previous prime is 1072205887. The next prime is 1072205899. The reversal of 1072205888 is 8885022701.

It can be written as a sum of positive squares in 2 ways, for example, as 722964544 + 349241344 = 26888^2 + 18688^2 .

It is a super-2 number, since 2×10722058882 = 2299250932523737088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1072205887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643523 + ... + 645186.

It is an arithmetic number, because the mean of its divisors is an integer number (81833085).

Almost surely, 21072205888 is an apocalyptic number.

It is an amenable number.

1072205888 is an abundant number, since it is smaller than the sum of its proper divisors (1219120492).

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

1072205888 is a wasteful number, since it uses less digits than its factorization.

1072205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288734 (or 1288724 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 1072205888 is about 32744.5550893580. Note that the first 3 decimals coincide. The cubic root of 1072205888 is about 1023.5115060986.

The spelling of 1072205888 in words is "one billion, seventy-two million, two hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1288709 2577418 5154836 10309672 16753217 20619344 33506434 41238688 67012868 82477376 134025736 268051472 536102944 1072205888