Base | Representation |
---|---|
bin | 1000101010100… |
… | …1011100111100 |
3 | 2112101112212120 |
4 | 2022221130330 |
5 | 33301030120 |
6 | 3335002540 |
7 | 620635011 |
oct | 212513474 |
9 | 75345776 |
10 | 36345660 |
11 | 1957503a |
12 | 10209450 |
13 | 76b7410 |
14 | 4b81708 |
15 | 32ce140 |
hex | 22a973c |
36345660 has 96 divisors (see below), whose sum is σ = 116085312. Its totient is φ = 8417280.
The previous prime is 36345649. The next prime is 36345679. The reversal of 36345660 is 6654363.
It is a happy number.
36345660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 11890 + ... + 14630.
It is an arithmetic number, because the mean of its divisors is an integer number (1209222).
Almost surely, 236345660 is an apocalyptic number.
36345660 is a gapful number since it is divisible by the number (30) 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 36345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58042656).
36345660 is an abundant number, since it is smaller than the sum of its proper divisors (79739652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36345660 is a wasteful number, since it uses less digits than its factorization.
36345660 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2783 (or 2781 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 33.
The square root of 36345660 is about 6028.7361859680. The cubic root of 36345660 is about 331.2461606295.
It can be divided in two parts, 36 and 345660, that added together give a triangular number (345696 = T831).
The spelling of 36345660 in words is "thirty-six million, three hundred forty-five thousand, six hundred sixty".
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