Search a number
-
+
112132636 = 227112231439
BaseRepresentation
bin1101010111100…
…00001000011100
321210222221001121
412223300020130
5212201221021
615043220324
72531053210
oct653601034
9253887047
10112132636
1158328a00
12316776a4
131a300c95
1410c6c940
159c9e741
hex6af021c

112132636 has 72 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 41759520.

The previous prime is 112132633. The next prime is 112132637. The reversal of 112132636 is 636231211.

It is a self number, because there is not a number n which added to its sum of digits gives 112132636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77205 + ... + 78643.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2112132636 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 112132636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

112132636 is an abundant number, since it is smaller than the sum of its proper divisors (145270244).

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

112132636 is a wasteful number, since it uses less digits than its factorization.

112132636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 112132636 is about 10589.2698520720. The cubic root of 112132636 is about 482.2186585029.

Adding to 112132636 its reverse (636231211), we get a palindrome (748363847).

The spelling of 112132636 in words is "one hundred twelve million, one hundred thirty-two thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 484 506 644 847 1012 1439 1694 1771 2783 2878 3388 3542 5566 5756 7084 10073 11132 15829 19481 20146 31658 33097 38962 40292 63316 66194 77924 110803 132388 174119 221606 231679 348238 364067 443212 463358 696476 728134 926716 1218833 1456268 2437666 2548469 4004737 4875332 5096938 8009474 10193876 16018948 28033159 56066318 112132636