Search a number
-
+
135057054 = 23112199791
BaseRepresentation
bin10000000110011…
…00111010011110
3100102010121110010
420003030322132
5234033311204
621222424050
73226652226
oct1003147236
9312117403
10135057054
116a266400
1239292026
1321c99522
1413d19086
15bccbd89
hex80cce9e

135057054 has 48 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 38768400.

The previous prime is 135057047. The next prime is 135057079. The reversal of 135057054 is 450750531.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8899 + ... + 18689.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2135057054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135057054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

135057054 is an abundant number, since it is smaller than the sum of its proper divisors (177503586).

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

135057054 is a wasteful number, since it uses less digits than its factorization.

135057054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837 (or 9826 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 135057054 is about 11621.4049925127. The cubic root of 135057054 is about 513.0650412083.

The spelling of 135057054 in words is "one hundred thirty-five million, fifty-seven thousand, fifty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 6897 9791 13794 19582 29373 58746 107701 186029 215402 323103 372058 558087 646206 1116174 1184711 2046319 2369422 3554133 4092638 6138957 7108266 12277914 22509509 45019018 67528527 135057054