Base | Representation |
---|---|
bin | 1000101000110… |
… | …1101100000000 |
3 | 2112011202212120 |
4 | 2022031230000 |
5 | 33233410221 |
6 | 3332324240 |
7 | 616652316 |
oct | 212155400 |
9 | 75152776 |
10 | 36231936 |
11 | 194a7654 |
12 | 10173680 |
13 | 7677720 |
14 | 4b520b6 |
15 | 32aa5c6 |
hex | 228db00 |
36231936 has 144 divisors (see below), whose sum is σ = 109885440. Its totient is φ = 10506240.
The previous prime is 36231931. The next prime is 36231953. The reversal of 36231936 is 63913263.
It is a super-3 number, since 3×362319363 (a number of 24 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 36231897 and 36231906.
It is not an unprimeable number, because it can be changed into a prime (36231931) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189601 + ... + 189791.
Almost surely, 236231936 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 36231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54942720).
36231936 is an abundant number, since it is smaller than the sum of its proper divisors (73653504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36231936 is a wasteful number, since it uses less digits than its factorization.
36231936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 242 (or 228 counting only the distinct ones).
The product of its digits is 17496, while the sum is 33.
The square root of 36231936 is about 6019.2969689159. The cubic root of 36231936 is about 330.9003146904.
The spelling of 36231936 in words is "thirty-six million, two hundred thirty-one thousand, nine hundred thirty-six".
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