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134468240 = 24513712269
BaseRepresentation
bin10000000001111…
…01001010010000
3100101000200202012
420000331022100
5233410440430
621202042052
73221650454
oct1000751220
9311020665
10134468240
11699a3a85
1239049328
1321b2150a
1413c04664
15bc12695
hex803d290

134468240 has 40 divisors (see below), whose sum is σ = 314946360. Its totient is φ = 53390336.

The previous prime is 134468239. The next prime is 134468309. The reversal of 134468240 is 42864431.

It can be written as a sum of positive squares in 4 ways, for example, as 48052624 + 86415616 = 6932^2 + 9296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 134468197 and 134468206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4826 + ... + 17094.

It is an arithmetic number, because the mean of its divisors is an integer number (7873659).

Almost surely, 2134468240 is an apocalyptic number.

134468240 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 134468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157473180).

134468240 is an abundant number, since it is smaller than the sum of its proper divisors (180478120).

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

134468240 is a wasteful number, since it uses less digits than its factorization.

134468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 134468240 is about 11596.0441530722. The cubic root of 134468240 is about 512.3183445035.

The spelling of 134468240 in words is "one hundred thirty-four million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 12269 24538 49076 61345 98152 122690 196304 245380 490760 981520 1680853 3361706 6723412 8404265 13446824 16808530 26893648 33617060 67234120 134468240