Search a number
-
+
12118392 = 233211213107
BaseRepresentation
bin101110001110…
…100101111000
3211210200022100
4232032211320
511100242032
61111423400
7205001406
oct56164570
924720270
1012118392
116927800
124084b60
132683b60
141876476
1510e597c
hexb8e978

12118392 has 144 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 3358080.

The previous prime is 12118391. The next prime is 12118429. The reversal of 12118392 is 29381121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12118391) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 113203 + ... + 113309.

Almost surely, 212118392 is an apocalyptic number.

12118392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12118392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

12118392 is an abundant number, since it is smaller than the sum of its proper divisors (27095328).

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

12118392 is a wasteful number, since it uses less digits than its factorization.

12118392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 12118392 is about 3481.1480864795. The cubic root of 12118392 is about 229.6933026161.

The spelling of 12118392 in words is "twelve million, one hundred eighteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 107 117 121 132 143 156 198 214 234 242 264 286 312 321 363 396 428 429 468 484 572 642 726 792 856 858 936 963 968 1089 1144 1177 1284 1287 1391 1452 1573 1716 1926 2178 2354 2568 2574 2782 2904 3146 3432 3531 3852 4173 4356 4708 4719 5148 5564 6292 7062 7704 8346 8712 9416 9438 10296 10593 11128 12519 12584 12947 14124 14157 15301 16692 18876 21186 25038 25894 28248 28314 30602 33384 37752 38841 42372 45903 50076 51788 56628 61204 77682 84744 91806 100152 103576 113256 116523 122408 137709 155364 168311 183612 233046 275418 310728 336622 367224 466092 504933 550836 673244 932184 1009866 1101672 1346488 1514799 2019732 3029598 4039464 6059196 12118392