Base | Representation |
---|---|
bin | 10000010000000… |
… | …01001101011000 |
3 | 100111111202122200 |
4 | 20020001031120 |
5 | 234344213312 |
6 | 21305450200 |
7 | 3243461625 |
oct | 1010011530 |
9 | 314452580 |
10 | 136319832 |
11 | 6aa49120 |
12 | 397a0960 |
13 | 2231c22c |
14 | 1416734c |
15 | be7b0dc |
hex | 8201358 |
136319832 has 96 divisors (see below), whose sum is σ = 424008000. Its totient is φ = 39130560.
The previous prime is 136319809. The next prime is 136319837. The reversal of 136319832 is 238913631.
136319832 is a `hidden beast` number, since 13 + 631 + 9 + 8 + 3 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (136319837) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10519 + ... + 19577.
It is an arithmetic number, because the mean of its divisors is an integer number (4416750).
Almost surely, 2136319832 is an apocalyptic number.
136319832 is a gapful number since it is divisible by the number (12) 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 136319832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212004000).
136319832 is an abundant number, since it is smaller than the sum of its proper divisors (287688168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136319832 is a wasteful number, since it uses less digits than its factorization.
136319832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9101 (or 9094 counting only the distinct ones).
The product of its digits is 23328, while the sum is 36.
The square root of 136319832 is about 11675.6084209775. The cubic root of 136319832 is about 514.6591290683.
The spelling of 136319832 in words is "one hundred thirty-six million, three hundred nineteen thousand, eight hundred thirty-two".
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