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135193050 = 236523709
BaseRepresentation
bin10000000111011…
…10000111011010
3100102101112000000
420003232013122
5234102134200
621225353430
73231056556
oct1003560732
9312345000
10135193050
116a3495a3
1239338876
13220163b5
1413d52866
15bd07300
hex80ee1da

135193050 has 84 divisors (see below), whose sum is σ = 377117790. Its totient is φ = 36041760.

The previous prime is 135193049. The next prime is 135193067. The reversal of 135193050 is 50391531.

135193050 is a `hidden beast` number, since 1 + 351 + 9 + 305 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 84768849 + 50424201 = 9207^2 + 7101^2 .

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

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 41 ways as a sum of consecutive naturals, for example, 34596 + ... + 38304.

Almost surely, 2135193050 is an apocalyptic number.

135193050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135193050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188558895).

135193050 is an abundant number, since it is smaller than the sum of its proper divisors (241924740).

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

135193050 is an equidigital number, since it uses as much as digits as its factorization.

135193050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 135193050 is about 11627.2546200726. The cubic root of 135193050 is about 513.2371940982.

The spelling of 135193050 in words is "one hundred thirty-five million, one hundred ninety-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2430 3645 3709 4050 6075 7290 7418 11127 12150 18225 18545 22254 33381 36450 37090 55635 66762 92725 100143 111270 166905 185450 200286 278175 300429 333810 500715 556350 600858 834525 901287 1001430 1502145 1669050 1802574 2503575 2703861 3004290 4506435 5007150 5407722 7510725 9012870 13519305 15021450 22532175 27038610 45064350 67596525 135193050