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1084138965 = 33573131801
BaseRepresentation
bin100000010011110…
…1010010111010101
32210112222222002000
41000213222113111
54210014421330
6255324505513
735603013000
oct10047522725
92715888060
101084138965
11506a71718
122630ab299
131437b9460
14a3db0537
15652a1560
hex409ea5d5

1084138965 has 128 divisors (see below), whose sum is σ = 2421888000. Its totient is φ = 457228800.

The previous prime is 1084138907. The next prime is 1084138997. The reversal of 1084138965 is 5698314801.

It is not a de Polignac number, because 1084138965 - 216 = 1084073429 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1084138965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 601065 + ... + 602865.

It is an arithmetic number, because the mean of its divisors is an integer number (18921000).

Almost surely, 21084138965 is an apocalyptic number.

1084138965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1084138965 is an abundant number, since it is smaller than the sum of its proper divisors (1337749035).

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

1084138965 is a wasteful number, since it uses less digits than its factorization.

1084138965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1084138965 is about 32926.2655793213. The cubic root of 1084138965 is about 1027.2945510698.

The spelling of 1084138965 in words is "one billion, eighty-four million, one hundred thirty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 91 105 117 135 147 189 195 245 273 315 343 351 441 455 585 637 735 819 945 1029 1323 1365 1715 1755 1801 1911 2205 2457 3087 3185 4095 4459 5145 5403 5733 6615 9005 9261 9555 12285 12607 13377 15435 16209 17199 22295 23413 27015 28665 37821 40131 46305 48627 63035 66885 70239 81045 85995 88249 113463 117065 120393 163891 189105 200655 210717 243135 264747 340389 351195 441245 491673 567315 601965 617743 632151 794241 819455 1053585 1147237 1323735 1475019 1701945 1853229 2382723 2458365 3088715 3160755 3441711 3971205 4425057 5559687 5736185 7375095 8030659 9266145 10325133 11913615 16679061 17208555 22125285 24091977 27798435 30975399 40153295 51625665 72275931 83395305 120459885 154876995 216827793 361379655 1084138965