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1069897040 = 245171017789
BaseRepresentation
bin111111110001010…
…101010101010000
32202120012101211022
4333301111111100
54142343201130
6254055335012
735340655232
oct7761252520
92676171738
101069897040
114a9a24533
1225a381468
13140870b94
14a2144252
1563ddb7e5
hex3fc55550

1069897040 has 80 divisors (see below), whose sum is σ = 2660253840. Its totient is φ = 398745600.

The previous prime is 1069897019. The next prime is 1069897051. The reversal of 1069897040 is 407989601.

It can be written as a sum of positive squares in 8 ways, for example, as 174451264 + 895445776 = 13208^2 + 29924^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10698970402 = 2289359352401523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1069896982 and 1069897000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133466 + ... + 141254.

It is an arithmetic number, because the mean of its divisors is an integer number (33253173).

Almost surely, 21069897040 is an apocalyptic number.

1069897040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330126920).

1069897040 is an abundant number, since it is smaller than the sum of its proper divisors (1590356800).

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

1069897040 is a wasteful number, since it uses less digits than its factorization.

1069897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 1069897040 is about 32709.2806402097. The cubic root of 1069897040 is about 1022.7763143538.

The spelling of 1069897040 in words is "one billion, sixty-nine million, eight hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 340 404 505 680 808 1010 1360 1616 1717 2020 3434 4040 6868 7789 8080 8585 13736 15578 17170 27472 31156 34340 38945 62312 68680 77890 124624 132413 137360 155780 264826 311560 529652 623120 662065 786689 1059304 1324130 1573378 2118608 2648260 3146756 3933445 5296520 6293512 7866890 10593040 12587024 13373713 15733780 26747426 31467560 53494852 62935120 66868565 106989704 133737130 213979408 267474260 534948520 1069897040