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36036036 = 2233333667
BaseRepresentation
bin1000100101110…
…1110111000100
32111210211011000
42021131313010
533211123121
63324213300
7615205221
oct211356704
974724130
1036036036
1119383453
121009a230
1376094ca
144b00948
15326c526
hex225ddc4

36036036 has 24 divisors (see below), whose sum is σ = 93427040. Its totient is φ = 12011976.

The previous prime is 36036029. The next prime is 36036037. The reversal of 36036036 is 63063063.

36036036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

36036036 is a modest number, since divided by 36036 gives 36 as remainder.

It is not an unprimeable number, because it can be changed into a prime (36036037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 166726 + ... + 166941.

Almost surely, 236036036 is an apocalyptic number.

36036036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36036036 is an abundant number, since it is smaller than the sum of its proper divisors (57391004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36036036 is a wasteful number, since it uses less digits than its factorization.

36036036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333680 (or 333672 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 36036036 is about 6003.0022488751. The cubic root of 36036036 is about 330.3028624543.

Subtracting from 36036036 its sum of digits (27), we obtain a square (36036009 = 60032).

Adding to 36036036 its reverse (63063063), we get a palindrome (99099099).

The spelling of 36036036 in words is "thirty-six million, thirty-six thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 333667 667334 1001001 1334668 2002002 3003003 4004004 6006006 9009009 12012012 18018018 36036036