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12283440 = 24351331127
BaseRepresentation
bin101110110110…
…111000110000
3212010001201020
4232312320300
511121032230
61115135440
7206256531
oct56667060
925101636
1012283440
116a2a804
124144580
132711010
1418ba688
151129810
hexbb6e30

12283440 has 160 divisors (see below), whose sum is σ = 42663936. Its totient is φ = 2903040.

The previous prime is 12283429. The next prime is 12283441. The reversal of 12283440 is 4438221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12283440.

It is not an unprimeable number, because it can be changed into a prime (12283441) 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 31 ways as a sum of consecutive naturals, for example, 96657 + ... + 96783.

Almost surely, 212283440 is an apocalyptic number.

12283440 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 12283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21331968).

12283440 is an abundant number, since it is smaller than the sum of its proper divisors (30380496).

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

12283440 is a wasteful number, since it uses less digits than its factorization.

12283440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12283440 is about 3504.7738871431. The cubic root of 12283440 is about 230.7313831948.

The spelling of 12283440 in words is "twelve million, two hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 127 130 155 156 186 195 208 240 248 254 260 310 312 372 381 390 403 465 496 508 520 620 624 635 744 762 780 806 930 1016 1040 1209 1240 1270 1488 1524 1560 1612 1651 1860 1905 2015 2032 2418 2480 2540 3048 3120 3224 3302 3720 3810 3937 4030 4836 4953 5080 6045 6096 6448 6604 7440 7620 7874 8060 8255 9672 9906 10160 11811 12090 13208 15240 15748 16120 16510 19344 19685 19812 23622 24180 24765 26416 30480 31496 32240 33020 39370 39624 47244 48360 49530 51181 59055 62992 66040 78740 79248 94488 96720 99060 102362 118110 132080 153543 157480 188976 198120 204724 236220 255905 307086 314960 396240 409448 472440 511810 614172 767715 818896 944880 1023620 1228344 1535430 2047240 2456688 3070860 4094480 6141720 12283440