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12318240 = 2535112333
BaseRepresentation
bin101110111111…
…011000100000
3212011211110010
4232333120200
511123140430
61120004520
7206463144
oct56773040
925154403
1012318240
116a53970
124160740
132723acc
1418c9224
151134cb0
hexbbf620

12318240 has 96 divisors (see below), whose sum is σ = 42348096. Its totient is φ = 2984960.

The previous prime is 12318227. The next prime is 12318247. The reversal of 12318240 is 4281321.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12318247) 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 15 ways as a sum of consecutive naturals, for example, 4114 + ... + 6446.

It is an arithmetic number, because the mean of its divisors is an integer number (441126).

Almost surely, 212318240 is an apocalyptic number.

12318240 is a gapful number since it is divisible by the number (10) 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 12318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174048).

12318240 is an abundant number, since it is smaller than the sum of its proper divisors (30029856).

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

12318240 is a wasteful number, since it uses less digits than its factorization.

12318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12318240 is about 3509.7350327340. The cubic root of 12318240 is about 230.9490714360.

Adding to 12318240 its reverse (4281321), we get a palindrome (16599561).

The spelling of 12318240 in words is "twelve million, three hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2333 2640 4666 5280 6999 9332 11665 13998 18664 23330 25663 27996 34995 37328 46660 51326 55992 69990 74656 76989 93320 102652 111984 128315 139980 153978 186640 205304 223968 256630 279960 307956 373280 384945 410608 513260 559920 615912 769890 821216 1026520 1119840 1231824 1539780 2053040 2463648 3079560 4106080 6159120 12318240