Search a number
-
+
36363030 = 235111011091
BaseRepresentation
bin1000101010110…
…1101100010110
32112102102200220
42022231230112
533302104110
63335215210
7621036444
oct212555426
975372626
1036363030
11195870a0
1210217506
1376c22b2
144b87b94
1532d4370
hex22adb16

36363030 has 64 divisors (see below), whose sum is σ = 96235776. Its totient is φ = 8720000.

The previous prime is 36363029. The next prime is 36363037. The reversal of 36363030 is 3036363.

36363030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36363037) 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 31 ways as a sum of consecutive naturals, for example, 32785 + ... + 33875.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 236363030 is an apocalyptic number.

36363030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36363030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888).

36363030 is an abundant number, since it is smaller than the sum of its proper divisors (59872746).

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

36363030 is a wasteful number, since it uses less digits than its factorization.

36363030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213.

The product of its (nonzero) digits is 2916, while the sum is 24.

The square root of 36363030 is about 6030.1766143290. The cubic root of 36363030 is about 331.2989209817.

Adding to 36363030 its reverse (3036363), we get a palindrome (39399393).

It can be divided in two parts, 3636 and 3030, that added together give a palindrome (6666).

The spelling of 36363030 in words is "thirty-six million, three hundred sixty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1091 1111 1515 2182 2222 3030 3273 3333 5455 5555 6546 6666 10910 11110 12001 16365 16665 24002 32730 33330 36003 60005 72006 110191 120010 180015 220382 330573 360030 550955 661146 1101910 1212101 1652865 2424202 3305730 3636303 6060505 7272606 12121010 18181515 36363030