Search a number
-
+
2112318 = 234131759
BaseRepresentation
bin1000000011101100111110
310222022120000
420003230332
51020043233
6113135130
723645235
oct10035476
93868500
102112318
11121301a
1285a4a6
1358c5c0
143cdb1c
152bad13
hex203b3e

2112318 has 80 divisors (see below), whose sum is σ = 5488560. Its totient is φ = 601344.

The previous prime is 2112307. The next prime is 2112323. The reversal of 2112318 is 8132112.

2112318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112318.

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 39 ways as a sum of consecutive naturals, for example, 35773 + ... + 35831.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

22112318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280).

2112318 is an abundant number, since it is smaller than the sum of its proper divisors (3376242).

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

2112318 is a wasteful number, since it uses less digits than its factorization.

2112318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2112318 is about 1453.3815741229. The cubic root of 2112318 is about 128.3078122448.

The spelling of 2112318 in words is "two million, one hundred twelve thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 59 78 81 102 117 118 153 162 177 221 234 306 351 354 442 459 531 663 702 767 918 1003 1053 1062 1326 1377 1534 1593 1989 2006 2106 2301 2754 3009 3186 3978 4602 4779 5967 6018 6903 9027 9558 11934 13039 13806 17901 18054 20709 26078 27081 35802 39117 41418 54162 62127 78234 81243 117351 124254 162486 234702 352053 704106 1056159 2112318