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135313488 = 2432939677
BaseRepresentation
bin10000001000010…
…11100001010000
3100102121122012200
420010023201100
5234120012423
621232123200
73232100652
oct1004134120
9312548180
10135313488
116a421032
1239396500
132205916b
1413d846d2
15bd2cd43
hex810b850

135313488 has 30 divisors (see below), whose sum is σ = 378690234. Its totient is φ = 45104448.

The previous prime is 135313483. The next prime is 135313511. The reversal of 135313488 is 884313531.

135313488 is a `hidden beast` number, since 13 + 531 + 34 + 88 = 666.

135313488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 55175184 = 8952^2 + 7428^2 .

It is a super-2 number, since 2×1353134882 = 36619480069452288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313483) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 469695 + ... + 469982.

Almost surely, 2135313488 is an apocalyptic number.

135313488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135313488 is an abundant number, since it is smaller than the sum of its proper divisors (243376746).

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

135313488 is a wasteful number, since it uses less digits than its factorization.

135313488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939691 (or 939682 counting only the distinct ones).

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

The square root of 135313488 is about 11632.4325916809. The cubic root of 135313488 is about 513.3895562564.

It can be divided in two parts, 1353 and 13488, that added together give a palindrome (14841).

The spelling of 135313488 in words is "one hundred thirty-five million, three hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 939677 1879354 2819031 3758708 5638062 7517416 8457093 11276124 15034832 16914186 22552248 33828372 45104496 67656744 135313488