Search a number
-
+
36235134 = 2331371727
BaseRepresentation
bin1000101000111…
…0011101111110
32112011221021000
42022032131332
533234011014
63332351130
7616664535
oct212163576
975157230
1036235134
11194a9aa1
12101754a6
137679010
144b5331c
1532ab509
hex228e77e

36235134 has 64 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 10977120.

The previous prime is 36235117. The next prime is 36235151. The reversal of 36235134 is 43153263.

It is a happy number.

36235134 is a `hidden beast` number, since 3 + 623 + 5 + 1 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (36235117) and next prime (36235151).

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

It is a junction number, because it is equal to n+sod(n) for n = 36235098 and 36235107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49479 + ... + 50205.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 236235134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36235134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

36235134 is an abundant number, since it is smaller than the sum of its proper divisors (51823746).

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

36235134 is a wasteful number, since it uses less digits than its factorization.

36235134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

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

The square root of 36235134 is about 6019.5626086951. The cubic root of 36235134 is about 330.9100500067.

Adding to 36235134 its reverse (43153263), we get a palindrome (79388397).

The spelling of 36235134 in words is "thirty-six million, two hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 117 142 213 234 351 426 639 702 727 923 1278 1454 1846 1917 2181 2769 3834 4362 5538 6543 8307 9451 13086 16614 18902 19629 24921 28353 39258 49842 51617 56706 85059 103234 154851 170118 255177 309702 464553 510354 671021 929106 1342042 1393659 2013063 2787318 4026126 6039189 12078378 18117567 36235134