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135871326 = 23231376581
BaseRepresentation
bin10000001100100…
…11101101011110
3100110122222102100
420012103231132
5234240340301
621252105530
73236613213
oct1006235536
9313588370
10135871326
116a772158
12396052a6
13221c3046
141408bb0a
15bddd286
hex8193b5e

135871326 has 48 divisors (see below), whose sum is σ = 312144768. Its totient is φ = 42638400.

The previous prime is 135871319. The next prime is 135871349. The reversal of 135871326 is 623178531.

135871326 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1358713262 = 36922034457996552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17356 + ... + 23936.

It is an arithmetic number, because the mean of its divisors is an integer number (6503016).

Almost surely, 2135871326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135871326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156072384).

135871326 is an abundant number, since it is smaller than the sum of its proper divisors (176273442).

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

135871326 is a wasteful number, since it uses less digits than its factorization.

135871326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6654 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135871326 is about 11656.3856319187. The cubic root of 135871326 is about 514.0940821085.

The spelling of 135871326 in words is "one hundred thirty-five million, eight hundred seventy-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6581 6882 10323 13162 19743 20646 39486 59229 118458 204011 243497 408022 486994 612033 730491 1224066 1460982 1836099 2191473 3672198 4382946 7548407 15096814 22645221 45290442 67935663 135871326