Search a number
-
+
12316248 = 2332723491
BaseRepresentation
bin101110111110…
…111001011000
3212011201201100
4232332321120
511123104443
61115551400
7206454300
oct56767130
925151640
1012316248
116a5241a
12415b560
132722c29
1418c8600
1511343d3
hexbbee58

12316248 has 72 divisors (see below), whose sum is σ = 38813580. Its totient is φ = 3517920.

The previous prime is 12316231. The next prime is 12316259. The reversal of 12316248 is 84261321.

12316248 is a `hidden beast` number, since 1 + 2 + 31 + 624 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1783 + ... + 5273.

Almost surely, 212316248 is an apocalyptic number.

12316248 is a gapful number since it is divisible by the number (18) 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 12316248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19406790).

12316248 is an abundant number, since it is smaller than the sum of its proper divisors (26497332).

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

12316248 is a wasteful number, since it uses less digits than its factorization.

12316248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3503 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12316248 is about 3509.4512391541. The cubic root of 12316248 is about 230.9366217313.

Adding to 12316248 its reverse (84261321), we get a palindrome (96577569).

The spelling of 12316248 in words is "twelve million, three hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3491 3528 6982 10473 13964 20946 24437 27928 31419 41892 48874 62838 73311 83784 97748 125676 146622 171059 195496 219933 251352 293244 342118 439866 513177 586488 684236 879732 1026354 1368472 1539531 1759464 2052708 3079062 4105416 6158124 12316248