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1068270800 = 24522670677
BaseRepresentation
bin111111101011001…
…000010011010000
32202110010210001012
4333223020103100
54141434131200
6254000430052
735321103062
oct7753102320
92673123035
101068270800
114a9013733
12259918328
131404218cc
14a1c3d732
1563bb9a35
hex3fac84d0

1068270800 has 30 divisors (see below), whose sum is σ = 2566521558. Its totient is φ = 427308160.

The previous prime is 1068270793. The next prime is 1068270821. The reversal of 1068270800 is 80728601.

1068270800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 217031824 + 851238976 = 14732^2 + 29176^2 .

It is a super-2 number, since 2×10682708002 = 2282405004265280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1334939 + ... + 1335738.

Almost surely, 21068270800 is an apocalyptic number.

1068270800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068270800 is an abundant number, since it is smaller than the sum of its proper divisors (1498250758).

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

1068270800 is a wasteful number, since it uses less digits than its factorization.

1068270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670695 (or 2670684 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1068270800 is about 32684.4121868514. The cubic root of 1068270800 is about 1022.2578460245.

The spelling of 1068270800 in words is "one billion, sixty-eight million, two hundred seventy thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2670677 5341354 10682708 13353385 21365416 26706770 42730832 53413540 66766925 106827080 133533850 213654160 267067700 534135400 1068270800