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12003424 = 252347347
BaseRepresentation
bin101101110010…
…100001100000
3211120211121021
4231302201200
511033102144
61105135224
7204012256
oct55624140
924524537
1012003424
116859394
12402a514
132643724
1418465d6
1510c1884
hexb72860

12003424 has 48 divisors (see below), whose sum is σ = 25256448. Its totient is φ = 5602432.

The previous prime is 12003391. The next prime is 12003427. The reversal of 12003424 is 42430021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12003398 and 12003407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34419 + ... + 34765.

It is an arithmetic number, because the mean of its divisors is an integer number (526176).

Almost surely, 212003424 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 12003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628224).

12003424 is an abundant number, since it is smaller than the sum of its proper divisors (13253024).

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

12003424 is a wasteful number, since it uses less digits than its factorization.

12003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12003424 is about 3464.5957917194. The cubic root of 12003424 is about 228.9646214487.

Adding to 12003424 its reverse (42430021), we get a palindrome (54433445).

It can be divided in two parts, 1200 and 3424, that added together give a square (4624 = 682).

The spelling of 12003424 in words is "twelve million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 347 368 376 694 736 752 1081 1388 1504 2162 2776 4324 5552 7981 8648 11104 15962 16309 17296 31924 32618 34592 63848 65236 127696 130472 255392 260944 375107 521888 750214 1500428 3000856 6001712 12003424