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12823032 = 2331753593
BaseRepresentation
bin110000111010…
…100111111000
3220010110220010
4300322213320
511240314112
61134501520
7213664635
oct60724770
926113803
1012823032
117269152
1243648a0
13286c7c1
1419bb18c
1511d463c
hexc3a9f8

12823032 has 64 divisors (see below), whose sum is σ = 34642080. Its totient is φ = 3940352.

The previous prime is 12823021. The next prime is 12823033. The reversal of 12823032 is 23032821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21328 + ... + 21920.

Almost surely, 212823032 is an apocalyptic number.

12823032 is a gapful number since it is divisible by the number (12) 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 12823032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17321040).

12823032 is an abundant number, since it is smaller than the sum of its proper divisors (21819048).

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

12823032 is a wasteful number, since it uses less digits than its factorization.

12823032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12823032 is about 3580.9261371885. The cubic root of 12823032 is about 234.0616391056.

Adding to 12823032 its reverse (23032821), we get a palindrome (35855853).

The spelling of 12823032 in words is "twelve million, eight hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 593 636 901 1186 1272 1779 1802 2372 2703 3558 3604 4744 5406 7116 7208 10081 10812 14232 20162 21624 30243 31429 40324 60486 62858 80648 94287 120972 125716 188574 241944 251432 377148 534293 754296 1068586 1602879 2137172 3205758 4274344 6411516 12823032