Base | Representation |
---|---|
bin | 10000001101110… |
… | …00110001010000 |
3 | 100110221200122100 |
4 | 20012320301100 |
5 | 234310214440 |
6 | 21255240400 |
7 | 3241114602 |
oct | 1006706120 |
9 | 313850570 |
10 | 136023120 |
11 | 6a866202 |
12 | 39679100 |
13 | 2224716c |
14 | 140cb172 |
15 | be1d230 |
hex | 81b8c50 |
136023120 has 120 divisors (see below), whose sum is σ = 483725736. Its totient is φ = 34136064.
The previous prime is 136023113. The next prime is 136023131. The reversal of 136023120 is 21320631.
136023120 is a `hidden beast` number, since 13 + 602 + 31 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 134374464 = 1284^2 + 11592^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 136023093 and 136023102.
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, 6684 + ... + 17796.
Almost surely, 2136023120 is an apocalyptic number.
136023120 is a gapful number since it is divisible by the number (10) 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 136023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241862868).
136023120 is an abundant number, since it is smaller than the sum of its proper divisors (347702616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136023120 is a wasteful number, since it uses less digits than its factorization.
136023120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11149 (or 11140 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 136023120 is about 11662.8950093877. The cubic root of 136023120 is about 514.2854576718.
Adding to 136023120 its reverse (21320631), we get a palindrome (157343751).
The spelling of 136023120 in words is "one hundred thirty-six million, twenty-three thousand, one hundred twenty".
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