Base | Representation |
---|---|
bin | 10000010001011… |
… | …00011001100000 |
3 | 100111211202022200 |
4 | 20020230121200 |
5 | 234420343421 |
6 | 21313333200 |
7 | 3245126445 |
oct | 1010543140 |
9 | 314752280 |
10 | 136496736 |
11 | 7005a022 |
12 | 39867200 |
13 | 223818cc |
14 | 141b19cc |
15 | beb3726 |
hex | 822c660 |
136496736 has 144 divisors (see below), whose sum is σ = 409827600. Its totient is φ = 43029504.
The previous prime is 136496729. The next prime is 136496747. The reversal of 136496736 is 637694631.
136496736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 136496691 and 136496700.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492630 + ... + 492906.
It is an arithmetic number, because the mean of its divisors is an integer number (2846025).
Almost surely, 2136496736 is an apocalyptic number.
136496736 is a gapful number since it is divisible by the number (16) 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 136496736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204913800).
136496736 is an abundant number, since it is smaller than the sum of its proper divisors (273330864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136496736 is a wasteful number, since it uses less digits than its factorization.
136496736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 381 (or 370 counting only the distinct ones).
The product of its digits is 489888, while the sum is 45.
The square root of 136496736 is about 11683.1817584081. The cubic root of 136496736 is about 514.8816594272.
The spelling of 136496736 in words is "one hundred thirty-six million, four hundred ninety-six thousand, seven hundred thirty-six".
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