Base | Representation |
---|---|
bin | 10000001010001… |
… | …10011010000000 |
3 | 100110001220002000 |
4 | 20011012122000 |
5 | 234200222223 |
6 | 21241224000 |
7 | 3234124113 |
oct | 1005063200 |
9 | 313056060 |
10 | 135554688 |
11 | 6a576275 |
12 | 39492000 |
13 | 22111b99 |
14 | 1400857a |
15 | bd79543 |
hex | 8146680 |
135554688 has 128 divisors (see below), whose sum is σ = 407265600. Its totient is φ = 44375040.
The previous prime is 135554677. The next prime is 135554693. The reversal of 135554688 is 886455531.
135554688 is a `hidden beast` number, since 1 + 35 + 554 + 68 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210495 + ... + 211137.
Almost surely, 2135554688 is an apocalyptic number.
135554688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 135554688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203632800).
135554688 is an abundant number, since it is smaller than the sum of its proper divisors (271710912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135554688 is an equidigital number, since it uses as much as digits as its factorization.
135554688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 727 (or 709 counting only the distinct ones).
The product of its digits is 576000, while the sum is 45.
The square root of 135554688 is about 11642.7955405908. The cubic root of 135554688 is about 513.6944188365.
The spelling of 135554688 in words is "one hundred thirty-five million, five hundred fifty-four thousand, six hundred eighty-eight".
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