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135327080 = 23574791009
BaseRepresentation
bin10000001000011…
…10110101101000
3100102122022212002
420010032311220
5234120431310
621232310132
73232155410
oct1004166550
9312568762
10135327080
116a430269
12393a2348
13220623c5
1413d89640
15bd31da5
hex810ed68

135327080 has 64 divisors (see below), whose sum is σ = 349056000. Its totient is φ = 46255104.

The previous prime is 135327047. The next prime is 135327091. The reversal of 135327080 is 80723531.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 133616 + ... + 134624.

It is an arithmetic number, because the mean of its divisors is an integer number (5454000).

Almost surely, 2135327080 is an apocalyptic number.

135327080 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 135327080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174528000).

135327080 is an abundant number, since it is smaller than the sum of its proper divisors (213728920).

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

135327080 is a wasteful number, since it uses less digits than its factorization.

135327080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 135327080 is about 11633.0168056270. The cubic root of 135327080 is about 513.4067453712.

The spelling of 135327080 in words is "one hundred thirty-five million, three hundred twenty-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 479 958 1009 1916 2018 2395 3353 3832 4036 4790 5045 6706 7063 8072 9580 10090 13412 14126 16765 19160 20180 26824 28252 33530 35315 40360 56504 67060 70630 134120 141260 282520 483311 966622 1933244 2416555 3383177 3866488 4833110 6766354 9666220 13532708 16915885 19332440 27065416 33831770 67663540 135327080