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135052722 = 23272198059
BaseRepresentation
bin10000000110010…
…11110110110010
3100102010101111200
420003023312302
5234033141342
621222352030
73226633500
oct1003136662
9312111450
10135052722
116a263122
123928b616
1321c9756c
1413d17670
15bcca94c
hex80cbdb2

135052722 has 72 divisors (see below), whose sum is σ = 358347600. Its totient is φ = 36551088.

The previous prime is 135052717. The next prime is 135052763. The reversal of 135052722 is 227250531.

135052722 is a `hidden beast` number, since 135 + 0 + 527 + 2 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 12729 + ... + 20787.

It is an arithmetic number, because the mean of its divisors is an integer number (4977050).

Almost surely, 2135052722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135052722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179173800).

135052722 is an abundant number, since it is smaller than the sum of its proper divisors (223294878).

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

135052722 is a wasteful number, since it uses less digits than its factorization.

135052722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135052722 is about 11621.2186107998. The cubic root of 135052722 is about 513.0595555722.

The spelling of 135052722 in words is "one hundred thirty-five million, fifty-two thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8059 8379 16118 16758 24177 48354 56413 72531 112826 145062 153121 169239 306242 338478 394891 459363 507717 789782 918726 1015434 1071847 1184673 1378089 2143694 2369346 2756178 3215541 3554019 6431082 7108038 7502929 9646623 15005858 19293246 22508787 45017574 67526361 135052722