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1069338960 = 243251485193
BaseRepresentation
bin111111101111001…
…101000101010000
32202112011001021200
4333233031011100
54142222321320
6254035351200
735333142204
oct7757150520
92675131250
101069338960
114a9683208
1225a152500
13140706b61
14a203ab04
1563d2b290
hex3fbcd150

1069338960 has 60 divisors (see below), whose sum is σ = 3591199092. Its totient is φ = 285156864.

The previous prime is 1069338929. The next prime is 1069338997. The reversal of 1069338960 is 698339601.

It can be written as a sum of positive squares in 2 ways, for example, as 345513744 + 723825216 = 18588^2 + 26904^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10693389602 = 2286971622747763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 741877 + ... + 743316.

Almost surely, 21069338960 is an apocalyptic number.

1069338960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1069338960 is an abundant number, since it is smaller than the sum of its proper divisors (2521860132).

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

1069338960 is a wasteful number, since it uses less digits than its factorization.

1069338960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485212 (or 1485203 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1069338960 is about 32700.7486152840. The cubic root of 1069338960 is about 1022.5984497997.

The spelling of 1069338960 in words is "one billion, sixty-nine million, three hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1485193 2970386 4455579 5940772 7425965 8911158 11881544 13366737 14851930 17822316 22277895 23763088 26733474 29703860 35644632 44555790 53466948 59407720 66833685 71289264 89111580 106933896 118815440 133667370 178223160 213867792 267334740 356446320 534669480 1069338960