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36324126 = 235312411
BaseRepresentation
bin1000101010010…
…0001100011110
32112100110100000
42022210030132
533244333001
63334315130
7620515146
oct212441436
975313300
1036324126
111955a943
12101b8aa6
1376aa687
144b77926
1532c7a86
hex22a431e

36324126 has 48 divisors (see below), whose sum is σ = 84284928. Its totient is φ = 11712600.

The previous prime is 36324109. The next prime is 36324131. The reversal of 36324126 is 62142363.

36324126 is a `hidden beast` number, since 3 + 632 + 4 + 1 + 26 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36324126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13861 + ... + 16271.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 236324126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36324126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42142464).

36324126 is an abundant number, since it is smaller than the sum of its proper divisors (47960802).

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

36324126 is a wasteful number, since it uses less digits than its factorization.

36324126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2447 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 36324126 is about 6026.9499749044. The cubic root of 36324126 is about 331.1807290300.

Adding to 36324126 its reverse (62142363), we get a palindrome (98466489).

The spelling of 36324126 in words is "thirty-six million, three hundred twenty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2411 2511 4822 5022 7233 7533 14466 15066 21699 43398 65097 74741 130194 149482 195291 224223 390582 448446 585873 672669 1171746 1345338 2018007 4036014 6054021 12108042 18162063 36324126