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134080360 = 23517269733
BaseRepresentation
bin1111111110111…
…10011101101000
3100100021222200021
413333132131220
5233311032420
621145450224
73215443561
oct777363550
9310258607
10134080360
1169759617
1238aa0974
1321a16abb
1413b43168
15bb877aa
hex7fde768

134080360 has 64 divisors (see below), whose sum is σ = 321051600. Its totient is φ = 50221056.

The previous prime is 134080339. The next prime is 134080361. The reversal of 134080360 is 63080431.

It can be written as a sum of positive squares in 8 ways, for example, as 84603204 + 49477156 = 9198^2 + 7034^2 .

It is not an unprimeable number, because it can be changed into a prime (134080361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182554 + ... + 183286.

Almost surely, 2134080360 is an apocalyptic number.

134080360 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 134080360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160525800).

134080360 is an abundant number, since it is smaller than the sum of its proper divisors (186971240).

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

134080360 is a wasteful number, since it uses less digits than its factorization.

134080360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 134080360 is about 11579.3074058857. The cubic root of 134080360 is about 511.8252679307.

The spelling of 134080360 in words is "one hundred thirty-four million, eighty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 269 340 538 680 733 1076 1345 1466 2152 2690 2932 3665 4573 5380 5864 7330 9146 10760 12461 14660 18292 22865 24922 29320 36584 45730 49844 62305 91460 99688 124610 182920 197177 249220 394354 498440 788708 985885 1577416 1971770 3352009 3943540 6704018 7887080 13408036 16760045 26816072 33520090 67040180 134080360