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1268645922 = 233193139887
BaseRepresentation
bin100101110011110…
…0000000000100010
310021102011220001000
41023213200000202
510044233132142
6325515252430
743303212105
oct11347400042
93242156030
101268645922
115a1132505
122b4a4a116
13172aaa87b
14c06bc73c
157659a14c
hex4b9e0022

1268645922 has 64 divisors (see below), whose sum is σ = 3063398400. Its totient is φ = 387691920.

The previous prime is 1268645921. The next prime is 1268645947. The reversal of 1268645922 is 2295468621.

It is not an unprimeable number, because it can be changed into a prime (1268645921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11863 + ... + 51749.

It is an arithmetic number, because the mean of its divisors is an integer number (47865600).

Almost surely, 21268645922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268645922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531699200).

1268645922 is an abundant number, since it is smaller than the sum of its proper divisors (1794752478).

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

1268645922 is a wasteful number, since it uses less digits than its factorization.

1268645922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39948 (or 39942 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1268645922 is about 35618.0561232642. The cubic root of 1268645922 is about 1082.5471207489.

The spelling of 1268645922 in words is "one billion, two hundred sixty-eight million, six hundred forty-five thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 3534 5301 10602 15903 31806 39887 79774 119661 239322 358983 717966 757853 1076949 1236497 1515706 2153898 2273559 2472994 3709491 4547118 6820677 7418982 11128473 13641354 20462031 22256946 23493443 33385419 40924062 46986886 66770838 70480329 140960658 211440987 422881974 634322961 1268645922