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1093416660 = 2232571276833
BaseRepresentation
bin100000100101100…
…0011011011010100
32211012110022200100
41001023003123110
54214403313120
6300255414100
736044613450
oct10113033324
92735408610
101093416660
11511229136
12266224330
131456b730b
14a5307660
1565ed5490
hex412c36d4

1093416660 has 144 divisors (see below), whose sum is σ = 3820916736. Its totient is φ = 247919616.

The previous prime is 1093416641. The next prime is 1093416661. The reversal of 1093416660 is 666143901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093416661) 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 47 ways as a sum of consecutive naturals, for example, 156604 + ... + 163436.

It is an arithmetic number, because the mean of its divisors is an integer number (26534144).

Almost surely, 21093416660 is an apocalyptic number.

1093416660 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 1093416660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910458368).

1093416660 is an abundant number, since it is smaller than the sum of its proper divisors (2727500076).

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

1093416660 is a wasteful number, since it uses less digits than its factorization.

1093416660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1093416660 is about 33066.8513771723. The cubic root of 1093416660 is about 1030.2166446605.

The spelling of 1093416660 in words is "one billion, ninety-three million, four hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 508 630 635 762 889 1143 1260 1270 1524 1778 1905 2286 2540 2667 3556 3810 4445 4572 5334 5715 6833 7620 8001 8890 10668 11430 13335 13666 16002 17780 20499 22860 26670 27332 32004 34165 40005 40998 47831 53340 61497 68330 80010 81996 95662 102495 122994 136660 143493 160020 191324 204990 239155 245988 286986 307485 409980 430479 478310 573972 614970 717465 860958 867791 956620 1229940 1434930 1721916 1735582 2152395 2603373 2869860 3471164 4304790 4338955 5206746 6074537 7810119 8609580 8677910 10413492 12149074 13016865 15620238 17355820 18223611 24298148 26033730 30372685 31240476 36447222 39050595 52067460 54670833 60745370 72894444 78101190 91118055 109341666 121490740 156202380 182236110 218683332 273354165 364472220 546708330 1093416660