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12053504 = 21079149
BaseRepresentation
bin101101111110…
…110000000000
3211200101022002
4231332300000
511041203004
61110203132
7204311261
oct55766000
924611262
1012053504
116892a81
1240534a8
132660468
14185a968
1510d161e
hexb7ec00

12053504 has 44 divisors (see below), whose sum is σ = 24564000. Its totient is φ = 5910528.

The previous prime is 12053497. The next prime is 12053507. The reversal of 12053504 is 40535021.

It is not an unprimeable number, because it can be changed into a prime (12053507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80822 + ... + 80970.

Almost surely, 212053504 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 12053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282000).

12053504 is an abundant number, since it is smaller than the sum of its proper divisors (12510496).

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

12053504 is an equidigital number, since it uses as much as digits as its factorization.

12053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 12053504 is about 3471.8156633093. The cubic root of 12053504 is about 229.2826040068.

Adding to 12053504 its reverse (40535021), we get a palindrome (52588525).

The spelling of 12053504 in words is "twelve million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 149 158 256 298 316 512 596 632 1024 1192 1264 2384 2528 4768 5056 9536 10112 11771 19072 20224 23542 38144 40448 47084 76288 80896 94168 152576 188336 376672 753344 1506688 3013376 6026752 12053504