Base | Representation |
---|---|
bin | 1000100111010… |
… | …0111011101000 |
3 | 2111222121210000 |
4 | 2021310323220 |
5 | 33222134121 |
6 | 3330223000 |
7 | 616050561 |
oct | 211647350 |
9 | 74877700 |
10 | 36130536 |
11 | 19438452 |
12 | 10124a60 |
13 | 7640520 |
14 | 4b27168 |
15 | 328a526 |
hex | 2274ee8 |
36130536 has 80 divisors (see below), whose sum is σ = 109008900. Its totient is φ = 11114496.
The previous prime is 36130519. The next prime is 36130541. The reversal of 36130536 is 63503163.
36130536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 35928036 + 202500 = 5994^2 + 450^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6280 + ... + 10568.
Almost surely, 236130536 is an apocalyptic number.
36130536 is a gapful number since it is divisible by the number (36) 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 36130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54504450).
36130536 is an abundant number, since it is smaller than the sum of its proper divisors (72878364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36130536 is a wasteful number, since it uses less digits than its factorization.
36130536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4320 (or 4307 counting only the distinct ones).
The product of its (nonzero) digits is 4860, while the sum is 27.
The square root of 36130536 is about 6010.8681569304. The cubic root of 36130536 is about 330.5913364286.
Adding to 36130536 its reverse (63503163), we get a palindrome (99633699).
The spelling of 36130536 in words is "thirty-six million, one hundred thirty thousand, five hundred thirty-six".
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