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1069069728 = 25314877489
BaseRepresentation
bin111111101110001…
…011010110100000
32202111122100222010
4333232023112200
54142140212403
6254025512520
735330641236
oct7756132640
92674570863
101069069728
114a9509a01
1225a042740
1314064144c
14a1daa956
1563cc6603
hex3fb8b5a0

1069069728 has 48 divisors (see below), whose sum is σ = 2808570240. Its totient is φ = 356069376.

The previous prime is 1069069723. The next prime is 1069069733. The reversal of 1069069728 is 8279609601.

It is an interprime number because it is at equal distance from previous prime (1069069723) and next prime (1069069733).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10690697283 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1069069723) 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 7 ways as a sum of consecutive naturals, for example, 139008 + ... + 146496.

It is an arithmetic number, because the mean of its divisors is an integer number (58511880).

Almost surely, 21069069728 is an apocalyptic number.

It is an amenable number.

1069069728 is an abundant number, since it is smaller than the sum of its proper divisors (1739500512).

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

1069069728 is a wasteful number, since it uses less digits than its factorization.

1069069728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1069069728 is about 32696.6317531332. The cubic root of 1069069728 is about 1022.5126212816.

The spelling of 1069069728 in words is "one billion, sixty-nine million, sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1487 2974 4461 5948 7489 8922 11896 14978 17844 22467 23792 29956 35688 44934 47584 59912 71376 89868 119824 142752 179736 239648 359472 718944 11136143 22272286 33408429 44544572 66816858 89089144 133633716 178178288 267267432 356356576 534534864 1069069728