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12006352 = 2417371193
BaseRepresentation
bin101101110011…
…001111010000
3211120222121201
4231303033100
511033200402
61105200544
7204023641
oct55631720
924528551
1012006352
116860606
124030154
132644b67
1418476c8
1510c2687
hexb733d0

12006352 has 40 divisors (see below), whose sum is σ = 25317576. Its totient is φ = 5492736.

The previous prime is 12006349. The next prime is 12006359. The reversal of 12006352 is 25360021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 6130576 = 2424^2 + 2476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006359) 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 7 ways as a sum of consecutive naturals, for example, 9468 + ... + 10660.

Almost surely, 212006352 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 12006352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658788).

12006352 is an abundant number, since it is smaller than the sum of its proper divisors (13311224).

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

12006352 is a wasteful number, since it uses less digits than its factorization.

12006352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 12006352 is about 3465.0183260699. The cubic root of 12006352 is about 228.9832370789.

Adding to 12006352 its reverse (25360021), we get a palindrome (37366373).

The spelling of 12006352 in words is "twelve million, six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1193 1258 2386 2516 4772 5032 9544 10064 19088 20281 40562 44141 81124 88282 162248 176564 324496 353128 706256 750397 1500794 3001588 6003176 12006352