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12328470 = 2335711593
BaseRepresentation
bin101111000001…
…111000010110
3212012100111000
4233001320112
511124002340
61120124130
7206535030
oct57017026
925170430
1012328470
116a60620
124166646
13272866b
1418ccc50
151137d30
hexbc1e16

12328470 has 128 divisors (see below), whose sum is σ = 41057280. Its totient is φ = 2557440.

The previous prime is 12328427. The next prime is 12328507. The reversal of 12328470 is 7482321.

12328470 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20494 + ... + 21086.

It is an arithmetic number, because the mean of its divisors is an integer number (320760).

Almost surely, 212328470 is an apocalyptic number.

12328470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12328470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528640).

12328470 is an abundant number, since it is smaller than the sum of its proper divisors (28728810).

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

12328470 is a wasteful number, since it uses less digits than its factorization.

12328470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12328470 is about 3511.1921052543. The cubic root of 12328470 is about 231.0129862829.

The spelling of 12328470 in words is "twelve million, three hundred twenty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 593 594 630 693 770 945 990 1155 1186 1386 1485 1779 1890 2079 2310 2965 2970 3465 3558 4151 4158 5337 5930 6523 6930 8302 8895 10395 10674 12453 13046 16011 17790 19569 20755 20790 24906 26685 32022 32615 37359 39138 41510 45661 53370 58707 62265 65230 74718 80055 91322 97845 112077 117414 124530 136983 160110 176121 186795 195690 224154 228305 273966 293535 352242 373590 410949 456610 560385 587070 684915 821898 880605 1120770 1232847 1369830 1761210 2054745 2465694 4109490 6164235 12328470