Base | Representation |
---|---|
bin | 10000000111110… |
… | …01111110100000 |
3 | 100102110222122100 |
4 | 20003321332200 |
5 | 234110213012 |
6 | 21230410400 |
7 | 3231351321 |
oct | 1003717640 |
9 | 312428570 |
10 | 135241632 |
11 | 6a382049 |
12 | 39360a00 |
13 | 22032546 |
14 | 13d66448 |
15 | bd168dc |
hex | 80f9fa0 |
135241632 has 36 divisors (see below), whose sum is σ = 384594210. Its totient is φ = 45080448.
The previous prime is 135241609. The next prime is 135241643. The reversal of 135241632 is 236142531.
135241632 is a `hidden beast` number, since 1 + 3 + 5 + 24 + 1 + 632 = 666.
135241632 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., 108243216 + 26998416 = 10404^2 + 5196^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a junction number, because it is equal to n+sod(n) for n = 135241596 and 135241605.
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 5 ways as a sum of consecutive naturals, for example, 234507 + ... + 235082.
Almost surely, 2135241632 is an apocalyptic number.
135241632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
135241632 is an abundant number, since it is smaller than the sum of its proper divisors (249352578).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135241632 is a wasteful number, since it uses less digits than its factorization.
135241632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 469605 (or 469594 counting only the distinct ones).
The product of its digits is 4320, while the sum is 27.
The square root of 135241632 is about 11629.3435756280. The cubic root of 135241632 is about 513.2986644752.
The spelling of 135241632 in words is "one hundred thirty-five million, two hundred forty-one thousand, six hundred thirty-two".
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