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1091112660 = 2233511216699
BaseRepresentation
bin100000100001001…
…0000111011010100
32211001010021012000
41001002100323110
54213311101120
6300134155300
736016206321
oct10102207324
92731107160
101091112660
1150a9a5100
122654b2b30
1314508b6c1
14a4ca7b48
1565bcc990
hex41090ed4

1091112660 has 144 divisors (see below), whose sum is σ = 3731448000. Its totient is φ = 264496320.

The previous prime is 1091112641. The next prime is 1091112697. The reversal of 1091112660 is 662111901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56991 + ... + 73689.

Almost surely, 21091112660 is an apocalyptic number.

1091112660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091112660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865724000).

1091112660 is an abundant number, since it is smaller than the sum of its proper divisors (2640335340).

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

1091112660 is a wasteful number, since it uses less digits than its factorization.

1091112660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1091112660 is about 33031.9944901909. The cubic root of 1091112660 is about 1029.4925265860.

The spelling of 1091112660 in words is "one billion, ninety-one million, one hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 16699 21780 32670 33398 50097 65340 66796 83495 100194 150291 166990 183689 200388 250485 300582 333980 367378 450873 500970 551067 601164 734756 751455 901746 918445 1001940 1102134 1502910 1653201 1803492 1836890 2020579 2204268 2254365 2755335 3005820 3306402 3673780 4041158 4508730 4959603 5510670 6061737 6612804 8082316 8266005 9017460 9919206 10102895 11021340 12123474 16532010 18185211 19838412 20205790 24246948 24798015 30308685 33064020 36370422 40411580 49596030 54555633 60617370 72740844 90926055 99192060 109111266 121234740 181852110 218222532 272778165 363704220 545556330 1091112660