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1069283745 = 325531812477
BaseRepresentation
bin111111101110111…
…111100110100001
32202112001020112200
4333232333212201
54142214034440
6254034243413
735332522215
oct7756774641
92675036480
101069283745
114a9645782
1225a126569
131406b799a
14a2024945
1563d19c30
hex3fbbf9a1

1069283745 has 48 divisors (see below), whose sum is σ = 1899595152. Its totient is φ = 556208640.

The previous prime is 1069283741. The next prime is 1069283807. The reversal of 1069283745 is 5473829601.

1069283745 is digitally balanced in base 10, 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 8 ways, for example, as 90782784 + 978500961 = 9528^2 + 31281^2 .

It is not a de Polignac number, because 1069283745 - 22 = 1069283741 is a prime.

It is a super-2 number, since 2×10692837452 = 2286735454642450050, which contains 22 as substring.

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

1069283745 is strictly pandigital in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1069283745.

It is not an unprimeable number, because it can be changed into a prime (1069283741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430447 + ... + 432923.

It is an arithmetic number, because the mean of its divisors is an integer number (39574899).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1069283745 = 2138567490, but 3⋅1069283745 = 3207851235 is not.

Almost surely, 21069283745 is an apocalyptic number.

1069283745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1069283745 is a deficient number, since it is larger than the sum of its proper divisors (830311407).

1069283745 is a wasteful number, since it uses less digits than its factorization.

1069283745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1069283745 is about 32699.9043576583. The cubic root of 1069283745 is about 1022.5808489742.

The spelling of 1069283745 in words is "one billion, sixty-nine million, two hundred eighty-three thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 181 265 477 543 795 905 1629 2385 2477 2715 7431 8145 9593 12385 22293 28779 37155 47965 86337 111465 131281 143895 393843 431685 448337 656405 1181529 1345011 1969215 2241685 4035033 5907645 6725055 20175165 23761861 71285583 118809305 213856749 356427915 1069283745