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1129466085 = 351119135839
BaseRepresentation
bin100001101010010…
…0100100011100101
32220201021211012020
41003110210203211
54303120403320
6304024213353
736663206016
oct10324444345
92821254166
101129466085
1152a610650
1227630a259
1314ccc9937
14aa00d00d
1569256940
hex435248e5

1129466085 has 32 divisors (see below), whose sum is σ = 1981808640. Its totient is φ = 544737600.

The previous prime is 1129466029. The next prime is 1129466113. The reversal of 1129466085 is 5806649211.

It is not a de Polignac number, because 1129466085 - 29 = 1129465573 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 13596 + ... + 49434.

It is an arithmetic number, because the mean of its divisors is an integer number (61931520).

Almost surely, 21129466085 is an apocalyptic number.

1129466085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1129466085 is a deficient number, since it is larger than the sum of its proper divisors (852342555).

1129466085 is a wasteful number, since it uses less digits than its factorization.

1129466085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36049.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1129466085 is about 33607.5301829813. The cubic root of 1129466085 is about 1041.4163656167.

The spelling of 1129466085 in words is "one billion, one hundred twenty-nine million, four hundred sixty-six thousand, eighty-five".

Divisors: 1 3 5 11 15 33 55 165 191 573 955 2101 2865 6303 10505 31515 35839 107517 179195 394229 537585 1182687 1971145 5913435 6845249 20535747 34226245 75297739 102678735 225893217 376488695 1129466085