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1026105168 = 24311316061
BaseRepresentation
bin111101001010010…
…001111101010000
32122111210112200010
4331022101331100
54100140331133
6245452554520
734266515154
oct7512217520
92574715603
101026105168
11487234000
12247782a40
1313477a42a
149a3c5064
156013b263
hex3d291f50

1026105168 has 80 divisors (see below), whose sum is σ = 2915831232. Its totient is φ = 310921600.

The previous prime is 1026105163. The next prime is 1026105191. The reversal of 1026105168 is 8615016201.

1026105168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026105163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55858 + ... + 71918.

Almost surely, 21026105168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026105168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457915616).

1026105168 is an abundant number, since it is smaller than the sum of its proper divisors (1889726064).

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

1026105168 is a wasteful number, since it uses less digits than its factorization.

1026105168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105 (or 16077 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1026105168 is about 32032.8763616382. The cubic root of 1026105168 is about 1008.6270820933.

The spelling of 1026105168 in words is "one billion, twenty-six million, one hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1936 2662 2904 3993 5324 5808 7986 10648 15972 16061 21296 31944 32122 48183 63888 64244 96366 128488 176671 192732 256976 353342 385464 530013 706684 770928 1060026 1413368 1943381 2120052 2826736 3886762 4240104 5830143 7773524 8480208 11660286 15547048 21377191 23320572 31094096 42754382 46641144 64131573 85508764 93282288 128263146 171017528 256526292 342035056 513052584 1026105168