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1068293745 = 33541257751
BaseRepresentation
bin111111101011001…
…101111001110001
32202110011221112000
4333223031321301
54141440344440
6254001124213
735321230011
oct7753157161
92673157460
101068293745
114a90299a2
12259929669
1314042c19c
14a1c47c41
1563bc1730
hex3facde71

1068293745 has 64 divisors (see below), whose sum is σ = 1955681280. Its totient is φ = 552960000.

The previous prime is 1068293731. The next prime is 1068293749. The reversal of 1068293745 is 5473928601.

1068293745 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1068293745 - 214 = 1068277361 is a prime.

It is a super-4 number, since 4×10682937454 (a number of 37 digits) contains 4444 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 (45).

1068293745 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 1068293745.

It is not an unprimeable number, because it can be changed into a prime (1068293749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1422120 + ... + 1422870.

It is an arithmetic number, because the mean of its divisors is an integer number (30557520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1068293745 = 2136587490, but 3⋅1068293745 = 3204881235 is not.

Almost surely, 21068293745 is an apocalyptic number.

1068293745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1068293745 is a deficient number, since it is larger than the sum of its proper divisors (887387535).

1068293745 is a wasteful number, since it uses less digits than its factorization.

1068293745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

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

The square root of 1068293745 is about 32684.7631932679. The cubic root of 1068293745 is about 1022.2651648736.

The spelling of 1068293745 in words is "one billion, sixty-eight million, two hundred ninety-three thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 257 369 615 751 771 1107 1285 1845 2253 2313 3755 3855 5535 6759 6939 10537 11265 11565 20277 30791 31611 33795 34695 52685 92373 94833 101385 153955 158055 193007 277119 284499 461865 474165 579021 831357 965035 1385595 1422495 1737063 2895105 4156785 5211189 7913287 8685315 23739861 26055945 39566435 71219583 118699305 213658749 356097915 1068293745