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3636045 = 325721797
BaseRepresentation
bin1101110111101101001101
320211201201100
431313231031
51412323140
6205533313
742622500
oct15675515
96751640
103636045
1120638a6
121274239
139a400a
146a9137
154bc530
hex377b4d

3636045 has 72 divisors (see below), whose sum is σ = 7842744. Its totient is φ = 1548288.

The previous prime is 3636043. The next prime is 3636053. The reversal of 3636045 is 5406363.

It can be written as a sum of positive squares in 4 ways, for example, as 670761 + 2965284 = 819^2 + 1722^2 .

It is not a de Polignac number, because 3636045 - 21 = 3636043 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3636043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37437 + ... + 37533.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 23636045 is an apocalyptic number.

3636045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3636045 is an abundant number, since it is smaller than the sum of its proper divisors (4206699).

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

3636045 is a wasteful number, since it uses less digits than its factorization.

3636045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3636045 is about 1906.8416295015. The cubic root of 3636045 is about 153.7717002883.

It can be divided in two parts, 363604 and 5, that added together give a square (363609 = 6032).

The spelling of 3636045 in words is "three million, six hundred thirty-six thousand, forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 97 105 119 147 153 245 255 291 315 357 441 485 595 679 735 765 833 873 1071 1455 1649 1785 2037 2205 2499 3395 4165 4365 4753 4947 5355 6111 7497 8245 10185 11543 12495 14259 14841 23765 24735 30555 34629 37485 42777 57715 71295 74205 80801 103887 173145 213885 242403 404005 519435 727209 1212015 3636045