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12328740 = 2233517279
BaseRepresentation
bin101111000001…
…111100100100
3212012100212000
4233001330210
511124004430
61120125300
7206535564
oct57017444
925170760
1012328740
116a60846
124166830
132728818
1418ccda4
151137e60
hexbc1f24

12328740 has 144 divisors (see below), whose sum is σ = 41260800. Its totient is φ = 3055104.

The previous prime is 12328721. The next prime is 12328747. The reversal of 12328740 is 4782321.

12328740 is digitally balanced in base 2, because in such base 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 not an unprimeable number, because it can be changed into a prime (12328747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156021 + ... + 156099.

Almost surely, 212328740 is an apocalyptic number.

12328740 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 12328740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630400).

12328740 is an abundant number, since it is smaller than the sum of its proper divisors (28932060).

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

12328740 is a wasteful number, since it uses less digits than its factorization.

12328740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

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

The square root of 12328740 is about 3511.2305535239. The cubic root of 12328740 is about 231.0146727060.

The spelling of 12328740 in words is "twelve million, three hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 79 85 90 102 108 135 153 158 170 180 204 237 255 270 289 306 316 340 395 459 474 510 540 578 612 711 765 790 867 918 948 1020 1156 1185 1343 1422 1445 1530 1580 1734 1836 2133 2295 2370 2601 2686 2844 2890 3060 3468 3555 4029 4266 4335 4590 4740 5202 5372 5780 6715 7110 7803 8058 8532 8670 9180 10404 10665 12087 13005 13430 14220 15606 16116 17340 20145 21330 22831 24174 26010 26860 31212 36261 39015 40290 42660 45662 48348 52020 60435 68493 72522 78030 80580 91324 114155 120870 136986 145044 156060 181305 205479 228310 241740 273972 342465 362610 410958 456620 616437 684930 725220 821916 1027395 1232874 1369860 2054790 2465748 3082185 4109580 6164370 12328740