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135068310 = 234513101127
BaseRepresentation
bin10000000110011…
…11101010010110
3100102011011220000
420003033222112
5234034141220
621222552130
73230030106
oct1003175226
9312134800
10135068310
116a273903
1239298646
1321ca16a0
1413d1d206
15bcd0390
hex80cfa96

135068310 has 160 divisors (see below), whose sum is σ = 398103552. Its totient is φ = 32659200.

The previous prime is 135068303. The next prime is 135068357. The reversal of 135068310 is 13860531.

It is a super-2 number, since 2×1350683102 = 36486896732512200, which contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 1063467 + ... + 1063593.

Almost surely, 2135068310 is an apocalyptic number.

135068310 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 135068310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199051776).

135068310 is an abundant number, since it is smaller than the sum of its proper divisors (263035242).

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

135068310 is a wasteful number, since it uses less digits than its factorization.

135068310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135068310 is about 11621.8892612174. The cubic root of 135068310 is about 513.0792941962.

The spelling of 135068310 in words is "one hundred thirty-five million, sixty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 101 117 127 130 135 162 195 202 234 254 270 303 351 381 390 405 505 585 606 635 702 762 810 909 1010 1053 1143 1170 1270 1313 1515 1651 1755 1818 1905 2106 2286 2626 2727 3030 3302 3429 3510 3810 3939 4545 4953 5265 5454 5715 6565 6858 7878 8181 8255 9090 9906 10287 10530 11430 11817 12827 13130 13635 14859 16362 16510 17145 19695 20574 23634 24765 25654 27270 29718 34290 35451 38481 39390 40905 44577 49530 51435 59085 64135 70902 74295 76962 81810 89154 102870 106353 115443 118170 128270 133731 148590 166751 177255 192405 212706 222885 230886 267462 333502 346329 354510 384810 445770 500253 531765 577215 668655 692658 833755 1000506 1038987 1063530 1154430 1337310 1500759 1667510 1731645 2077974 2501265 3001518 3463290 4502277 5002530 5194935 7503795 9004554 10389870 13506831 15007590 22511385 27013662 45022770 67534155 135068310