Search a number
-
+
12310056 = 2334112157
BaseRepresentation
bin101110111101…
…011000101000
3212011102020000
4232331120220
511122410211
61115503000
7206430243
oct56753050
925142200
1012310056
116a48800
124157a60
132720175
1418c625a
151132656
hexbbd628

12310056 has 120 divisors (see below), whose sum is σ = 38140410. Its totient is φ = 3706560.

The previous prime is 12310033. The next prime is 12310073. The reversal of 12310056 is 65001321.

It can be written as a sum of positive squares in only one way, i.e., 11329956 + 980100 = 3366^2 + 990^2 .

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 78330 + ... + 78486.

Almost surely, 212310056 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 12310056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070205).

12310056 is an abundant number, since it is smaller than the sum of its proper divisors (25830354).

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

12310056 is a wasteful number, since it uses less digits than its factorization.

12310056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12310056 is about 3508.5689390405. The cubic root of 12310056 is about 230.8979140754.

Adding to 12310056 its reverse (65001321), we get a palindrome (77311377).

The spelling of 12310056 in words is "twelve million, three hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 157 162 198 216 242 264 297 314 324 363 396 471 484 594 628 648 726 792 891 942 968 1089 1188 1256 1413 1452 1727 1782 1884 2178 2376 2826 2904 3267 3454 3564 3768 4239 4356 5181 5652 6534 6908 7128 8478 8712 9801 10362 11304 12717 13068 13816 15543 16956 18997 19602 20724 25434 26136 31086 33912 37994 39204 41448 46629 50868 56991 62172 75988 78408 93258 101736 113982 124344 139887 151976 170973 186516 227964 279774 341946 373032 455928 512919 559548 683892 1025838 1119096 1367784 1538757 2051676 3077514 4103352 6155028 12310056