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8080917120 = 273251402937
BaseRepresentation
bin1111000011010100…
…10000001010000000
3202212011200010022200
413201222100022000
5113022203321440
63413510033200
7404152443063
oct74152201200
922764603280
108080917120
113477515701
121696348800
139ba234a83
1456932c8da
15324680c30
hex1e1a90280

8080917120 has 96 divisors (see below), whose sum is σ = 27904436820. Its totient is φ = 2154909696.

The previous prime is 8080917109. The next prime is 8080917121. The reversal of 8080917120 is 217190808.

It can be written as a sum of positive squares in 2 ways, for example, as 8069788224 + 11128896 = 89832^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8080917121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 695709 + ... + 707228.

Almost surely, 28080917120 is an apocalyptic number.

8080917120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8080917120 is an abundant number, since it is smaller than the sum of its proper divisors (19823519700).

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

8080917120 is a wasteful number, since it uses less digits than its factorization.

8080917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402962 (or 1402947 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 8080917120 is about 89893.9214852706. The cubic root of 8080917120 is about 2006.7204855760.

The spelling of 8080917120 in words is "eight billion, eighty million, nine hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 1402937 2805874 4208811 5611748 7014685 8417622 11223496 12626433 14029370 16835244 21044055 22446992 25252866 28058740 33670488 42088110 44893984 50505732 56117480 63132165 67340976 84176220 89787968 101011464 112234960 126264330 134681952 168352440 179575936 202022928 224469920 252528660 269363904 336704880 404045856 448939840 505057320 538727808 673409760 808091712 897879680 1010114640 1346819520 1616183424 2020229280 2693639040 4040458560 8080917120