Base | Representation |
---|---|
bin | 101111000010… |
… | …011000100000 |
3 | 212012110022020 |
4 | 233002120200 |
5 | 11124034103 |
6 | 1120141440 |
7 | 206544030 |
oct | 57023040 |
9 | 25173266 |
10 | 12330528 |
11 | 6a62121 |
12 | 4167880 |
13 | 2729592 |
14 | 18cd8c0 |
15 | 1138753 |
hex | bc2620 |
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".
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