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1268745728 = 2914916631
BaseRepresentation
bin100101110011111…
…1000011000000000
310021102100221221112
41023213320120000
510044244330403
6325521342452
743304106065
oct11347703000
93242327845
101268745728
115a11a0498
122b4a97a28
13172b14123
14c0706c6c
15765b99d8
hex4b9f8600

1268745728 has 40 divisors (see below), whose sum is σ = 2552180400. Its totient is φ = 630077440.

The previous prime is 1268745707. The next prime is 1268745733. The reversal of 1268745728 is 8275478621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67973 + ... + 84603.

It is an arithmetic number, because the mean of its divisors is an integer number (63804510).

Almost surely, 21268745728 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 1268745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276090200).

1268745728 is an abundant number, since it is smaller than the sum of its proper divisors (1283434672).

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

1268745728 is an equidigital number, since it uses as much as digits as its factorization.

1268745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16798 (or 16782 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 50.

The square root of 1268745728 is about 35619.4571547630. The cubic root of 1268745728 is about 1082.5755084608.

The spelling of 1268745728 in words is "one billion, two hundred sixty-eight million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 2384 4768 9536 16631 19072 33262 38144 66524 76288 133048 266096 532192 1064384 2128768 2478019 4257536 4956038 8515072 9912076 19824152 39648304 79296608 158593216 317186432 634372864 1268745728