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36360084 = 22329163641
BaseRepresentation
bin1000101010110…
…0111110010100
32112102021122210
42022230332110
533302010314
63335153420
7621025035
oct212547624
975367583
1036360084
1119584962
1210215870
1376c0b57
144b86a8c
1532d3559
hex22acf94

36360084 has 48 divisors (see below), whose sum is σ = 88441920. Its totient is φ = 11612160.

The previous prime is 36360083. The next prime is 36360109. The reversal of 36360084 is 48006363.

36360084 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 not an unprimeable number, because it can be changed into a prime (36360083) 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 15 ways as a sum of consecutive naturals, for example, 56404 + ... + 57044.

It is an arithmetic number, because the mean of its divisors is an integer number (1842540).

Almost surely, 236360084 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 36360084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44220960).

36360084 is an abundant number, since it is smaller than the sum of its proper divisors (52081836).

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

36360084 is a wasteful number, since it uses less digits than its factorization.

36360084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 36360084 is about 6029.9323379288. The cubic root of 36360084 is about 331.2899738635.

The spelling of 36360084 in words is "thirty-six million, three hundred sixty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 163 174 326 348 489 641 652 978 1282 1923 1956 2564 3846 4727 7692 9454 14181 18589 18908 28362 37178 55767 56724 74356 104483 111534 208966 223068 313449 417932 626898 1253796 3030007 6060014 9090021 12120028 18180042 36360084