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135428766 = 231121710973
BaseRepresentation
bin10000001001001…
…11101010011110
3100102211111100020
420010213222132
5234132210031
621234413010
73233061024
oct1004475236
9312744306
10135428766
116a49a700
1239431166
1322099785
1413db4714
15bd52096
hex8127a9e

135428766 has 48 divisors (see below), whose sum is σ = 315261072. Its totient is φ = 38621440.

The previous prime is 135428759. The next prime is 135428767. The reversal of 135428766 is 667824531.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135428767) by changing a digit.

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, 6856 + ... + 17828.

It is an arithmetic number, because the mean of its divisors is an integer number (6567939).

Almost surely, 2135428766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135428766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157630536).

135428766 is an abundant number, since it is smaller than the sum of its proper divisors (179832306).

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

135428766 is a wasteful number, since it uses less digits than its factorization.

135428766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017 (or 11006 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 135428766 is about 11637.3865622828. The cubic root of 135428766 is about 513.5353060103.

The spelling of 135428766 in words is "one hundred thirty-five million, four hundred twenty-eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 10973 12342 21946 32919 65838 120703 186541 241406 362109 373082 559623 724218 1119246 1327733 2051951 2655466 3983199 4103902 6155853 7966398 12311706 22571461 45142922 67714383 135428766