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135308862 = 232132331811
BaseRepresentation
bin10000001000010…
…10011000111110
3100102121101212100
420010022120332
5234114340422
621232045530
73232051323
oct1004123076
9312541770
10135308862
116a418607
12393938a6
1322057020
1413d82b4a
15bd2b7ac
hex810a63e

135308862 has 96 divisors (see below), whose sum is σ = 340494336. Its totient is φ = 38491200.

The previous prime is 135308857. The next prime is 135308879. The reversal of 135308862 is 268803531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166437 + ... + 167247.

It is an arithmetic number, because the mean of its divisors is an integer number (3546816).

Almost surely, 2135308862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135308862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170247168).

135308862 is an abundant number, since it is smaller than the sum of its proper divisors (205185474).

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

135308862 is a wasteful number, since it uses less digits than its factorization.

135308862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 135308862 is about 11632.2337493708. The cubic root of 135308862 is about 513.3837057257.

The spelling of 135308862 in words is "one hundred thirty-five million, three hundred eight thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 23 26 31 39 46 62 69 78 93 117 138 186 207 234 279 299 403 414 558 598 713 806 811 897 1209 1426 1622 1794 2139 2418 2433 2691 3627 4278 4866 5382 6417 7254 7299 9269 10543 12834 14598 18538 18653 21086 25141 27807 31629 37306 50282 55614 55959 63258 75423 83421 94887 111918 150846 166842 167877 189774 226269 242489 326833 335754 452538 484978 578243 653666 727467 980499 1156486 1454934 1734729 1960998 2182401 2941497 3469458 4364802 5204187 5882994 7517159 10408374 15034318 22551477 45102954 67654431 135308862