Base | Representation |
---|---|
bin | 1000100101101… |
… | …0101100011000 |
3 | 2111210011100120 |
4 | 2021122230120 |
5 | 33210214224 |
6 | 3324033240 |
7 | 615122340 |
oct | 211325430 |
9 | 74704316 |
10 | 36023064 |
11 | 19374730 |
12 | 10092820 |
13 | 760362c |
14 | 4ad9d20 |
15 | 3268779 |
hex | 225ab18 |
36023064 has 128 divisors (see below), whose sum is σ = 113978880. Its totient is φ = 9216000.
The previous prime is 36023063. The next prime is 36023077. The reversal of 36023064 is 46032063.
It is a super-2 number, since 2×360230642 = 2595322279896192, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36023063) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186552 + ... + 186744.
It is an arithmetic number, because the mean of its divisors is an integer number (890460).
Almost surely, 236023064 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 36023064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56989440).
36023064 is an abundant number, since it is smaller than the sum of its proper divisors (77955816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36023064 is a wasteful number, since it uses less digits than its factorization.
36023064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 321 (or 317 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 24.
The square root of 36023064 is about 6001.9216922582. The cubic root of 36023064 is about 330.2632243269.
It can be divided in two parts, 3602 and 3064, that added together give a palindrome (6666).
The spelling of 36023064 in words is "thirty-six million, twenty-three thousand, sixty-four".
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