Base | Representation |
---|---|
bin | 10000010000001… |
… | …00000111010000 |
3 | 100111112100222021 |
4 | 20020010013100 |
5 | 234400103403 |
6 | 21310021224 |
7 | 3243541411 |
oct | 1010040720 |
9 | 314470867 |
10 | 136331728 |
11 | 6aa57055 |
12 | 397a7814 |
13 | 22324780 |
14 | 1416b808 |
15 | be7e8bd |
hex | 82041d0 |
136331728 has 40 divisors (see below), whose sum is σ = 285559848. Its totient is φ = 62679552.
The previous prime is 136331693. The next prime is 136331737. The reversal of 136331728 is 827133631.
It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 88887184 = 6888^2 + 9428^2 .
It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 136331693 and 136331702.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59826 + ... + 62062.
Almost surely, 2136331728 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 136331728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142779924).
136331728 is an abundant number, since it is smaller than the sum of its proper divisors (149228120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136331728 is a wasteful number, since it uses less digits than its factorization.
136331728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2551 (or 2545 counting only the distinct ones).
The product of its digits is 18144, while the sum is 34.
The square root of 136331728 is about 11676.1178479835. The cubic root of 136331728 is about 514.6740992719.
The spelling of 136331728 in words is "one hundred thirty-six million, three hundred thirty-one thousand, seven hundred twenty-eight".
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