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12330528 = 253759311
BaseRepresentation
bin101111000010…
…011000100000
3212012110022020
4233002120200
511124034103
61120141440
7206544030
oct57023040
925173266
1012330528
116a62121
124167880
132729592
1418cd8c0
151138753
hexbc2620

12330528 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3452160.

The previous prime is 12330523. The next prime is 12330533. The reversal of 12330528 is 82503321.

It is an interprime number because it is at equal distance from previous prime (12330523) and next prime (12330533).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 12330498 and 12330507.

It is not an unprimeable number, because it can be changed into a prime (12330523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39493 + ... + 39803.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 212330528 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 12330528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12330528 is an abundant number, since it is smaller than the sum of its proper divisors (25408992).

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

12330528 is a wasteful number, since it uses less digits than its factorization.

12330528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12330528 is about 3511.4851558849. The cubic root of 12330528 is about 231.0258399534.

Adding to 12330528 its reverse (82503321), we get a palindrome (94833849).

It can be divided in two parts, 12 and 330528, that multiplied together give a triangular number (3966336 = T2816).

The spelling of 12330528 in words is "twelve million, three hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 311 336 354 413 472 622 672 708 826 933 944 1239 1244 1416 1652 1866 1888 2177 2478 2488 2832 3304 3732 4354 4956 4976 5664 6531 6608 7464 8708 9912 9952 13062 13216 14928 17416 18349 19824 26124 29856 34832 36698 39648 52248 55047 69664 73396 104496 110094 128443 146792 208992 220188 256886 293584 385329 440376 513772 587168 770658 880752 1027544 1541316 1761504 2055088 3082632 4110176 6165264 12330528