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12328536 = 23311174167
BaseRepresentation
bin101111000001…
…111001011000
3212012100120110
4233001321120
511124003121
61120124320
7206535153
oct57017130
925170513
1012328536
116a60680
1241666a0
1327286bc
1418ccc9a
151137d76
hexbc1e58

12328536 has 128 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3379200.

The previous prime is 12328531. The next prime is 12328543. The reversal of 12328536 is 63582321.

12328536 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12328531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183975 + ... + 184041.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 212328536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12328536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

12328536 is an abundant number, since it is smaller than the sum of its proper divisors (24685224).

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

12328536 is a wasteful number, since it uses less digits than its factorization.

12328536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 12328536 is about 3511.2015037591. The cubic root of 12328536 is about 231.0133985220.

It can be divided in two parts, 123285 and 36, that added together give a palindrome (123321).

The spelling of 12328536 in words is "twelve million, three hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 41 44 51 66 67 68 82 88 102 123 132 134 136 164 187 201 204 246 264 268 328 374 402 408 451 492 536 561 697 737 748 804 902 984 1122 1139 1353 1394 1474 1496 1608 1804 2091 2211 2244 2278 2706 2747 2788 2948 3417 3608 4182 4422 4488 4556 5412 5494 5576 5896 6834 7667 8241 8364 8844 9112 10824 10988 12529 13668 15334 16482 16728 17688 21976 23001 25058 27336 30217 30668 32964 37587 46002 46699 50116 60434 61336 65928 75174 90651 92004 93398 100232 120868 140097 150348 181302 184008 186796 241736 280194 300696 362604 373592 513689 560388 725208 1027378 1120776 1541067 2054756 3082134 4109512 6164268 12328536