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1109741040 = 24335513769
BaseRepresentation
bin100001000100101…
…0100110111110000
32212100011200112000
41002021110313300
54233043203130
6302041334000
736333433422
oct10211246760
92770150460
101109741040
1151a468961
1226b797300
13148bb1705
14a7556812
156765c260
hex42254df0

1109741040 has 80 divisors (see below), whose sum is σ = 3822448800. Its totient is φ = 295930368.

The previous prime is 1109740997. The next prime is 1109741093. The reversal of 1109741040 is 401479011.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1109740995 and 1109741013.

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 15 ways as a sum of consecutive naturals, for example, 254725 + ... + 259044.

It is an arithmetic number, because the mean of its divisors is an integer number (47780610).

Almost surely, 21109741040 is an apocalyptic number.

1109741040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1109741040 is an abundant number, since it is smaller than the sum of its proper divisors (2712707760).

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

1109741040 is a wasteful number, since it uses less digits than its factorization.

1109741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513791 (or 513779 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1109741040 is about 33312.7759275627. The cubic root of 1109741040 is about 1035.3182806050.

The spelling of 1109741040 in words is "one billion, one hundred nine million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 513769 1027538 1541307 2055076 2568845 3082614 4110152 4623921 5137690 6165228 7706535 8220304 9247842 10275380 12330456 13871763 15413070 18495684 20550760 23119605 24660912 27743526 30826140 36991368 41101520 46239210 55487052 61652280 69358815 73982736 92478420 110974104 123304560 138717630 184956840 221948208 277435260 369913680 554870520 1109741040