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1085991705 = 34517157733
BaseRepresentation
bin100000010111010…
…1110101100011001
32210200111002120000
41000232232230121
54211003213310
6255432323213
735624530401
oct10056565431
92720432500
101085991705
11508017707
12263843509
13143cb7856
14a4333801
156551a4c0
hex40baeb19

1085991705 has 40 divisors (see below), whose sum is σ = 2061267912. Its totient is φ = 545121792.

The previous prime is 1085991653. The next prime is 1085991733. The reversal of 1085991705 is 5071995801.

It can be written as a sum of positive squares in 4 ways, for example, as 154032921 + 931958784 = 12411^2 + 30528^2 .

It is not a de Polignac number, because 1085991705 - 211 = 1085989657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71982 + ... + 85751.

Almost surely, 21085991705 is an apocalyptic number.

1085991705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1085991705 is a deficient number, since it is larger than the sum of its proper divisors (975276207).

1085991705 is a wasteful number, since it uses less digits than its factorization.

1085991705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157767 (or 157758 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The square root of 1085991705 is about 32954.3882510357. The cubic root of 1085991705 is about 1027.8794165945.

The spelling of 1085991705 in words is "one billion, eighty-five million, nine hundred ninety-one thousand, seven hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 157733 473199 788665 1419597 2365995 2681461 4258791 7097985 8044383 12776373 13407305 21293955 24133149 40221915 63881865 72399447 120665745 217198341 361997235 1085991705