[go: up one dir, main page]

Search a number
-
+
36300124 = 2275361401
BaseRepresentation
bin1000101001111…
…0010101011100
32112022020102001
42022132111130
533243100444
63334012044
7620355160
oct212362534
975266361
1036300124
1119543903
12101a7024
13769c783
144b6cca0
1532c08d4
hex229e55c

36300124 has 48 divisors (see below), whose sum is σ = 75370176. Its totient is φ = 14976000.

The previous prime is 36300119. The next prime is 36300149. The reversal of 36300124 is 42100363.

36300124 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 15 ways as a sum of consecutive naturals, for example, 90324 + ... + 90724.

It is an arithmetic number, because the mean of its divisors is an integer number (1570212).

Almost surely, 236300124 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 36300124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685088).

36300124 is an abundant number, since it is smaller than the sum of its proper divisors (39070052).

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

36300124 is a wasteful number, since it uses less digits than its factorization.

36300124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 36300124 is about 6024.9584230931. The cubic root of 36300124 is about 331.1077678679.

Adding to 36300124 its reverse (42100363), we get a palindrome (78400487).

The spelling of 36300124 in words is "thirty-six million, three hundred thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 53 61 106 122 212 244 371 401 427 742 802 854 1484 1604 1708 2807 3233 5614 6466 11228 12932 21253 22631 24461 42506 45262 48922 85012 90524 97844 148771 171227 297542 342454 595084 684908 1296433 2592866 5185732 9075031 18150062 36300124