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135313836 = 22379716607
BaseRepresentation
bin10000001000010…
…11100110101100
3100102121122200120
420010023212230
5234120020321
621232124540
73232101660
oct1004134654
9312548616
10135313836
116a421319
1239396750
1322059378
1413d848a0
15bd2cec6
hex810b9ac

135313836 has 48 divisors (see below), whose sum is σ = 364578816. Its totient is φ = 38260224.

The previous prime is 135313813. The next prime is 135313861. The reversal of 135313836 is 638313531.

135313836 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135313797 and 135313806.

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 15 ways as a sum of consecutive naturals, for example, 156 + ... + 16451.

It is an arithmetic number, because the mean of its divisors is an integer number (7595392).

Almost surely, 2135313836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135313836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182289408).

135313836 is an abundant number, since it is smaller than the sum of its proper divisors (229264980).

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

135313836 is a wasteful number, since it uses less digits than its factorization.

135313836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16718 (or 16716 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 135313836 is about 11632.4475498495. The cubic root of 135313836 is about 513.3899963688.

The spelling of 135313836 in words is "one hundred thirty-five million, three hundred thirteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 8148 16607 33214 49821 66428 99642 116249 199284 232498 348747 464996 697494 1394988 1610879 3221758 4832637 6443516 9665274 11276153 19330548 22552306 33828459 45104612 67656918 135313836