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1085740768 = 25717285121
BaseRepresentation
bin100000010110111…
…0001011011100000
32210200000100100001
41000231301123200
54210422201033
6255423105344
735622433660
oct10055613340
92720010301
101085740768
11507966122
12263742254
13143c2a578
14a42aa1a0
15654bae7d
hex40b716e0

1085740768 has 48 divisors (see below), whose sum is σ = 2586626784. Its totient is φ = 437944320.

The previous prime is 1085740763. The next prime is 1085740771. The reversal of 1085740768 is 8670475801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085740763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138753 + ... + 146368.

It is an arithmetic number, because the mean of its divisors is an integer number (53888058).

Almost surely, 21085740768 is an apocalyptic number.

It is an amenable number.

1085740768 is an abundant number, since it is smaller than the sum of its proper divisors (1500886016).

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

1085740768 is a wasteful number, since it uses less digits than its factorization.

1085740768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285155 (or 285147 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 1085740768 is about 32950.5806929104. The cubic root of 1085740768 is about 1027.8002407760.

The spelling of 1085740768 in words is "one billion, eighty-five million, seven hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 285121 570242 1140484 1995847 2280968 3991694 4561936 4847057 7983388 9123872 9694114 15966776 19388228 31933552 33929399 38776456 63867104 67858798 77552912 135717596 155105824 271435192 542870384 1085740768