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12009936 = 2431511657
BaseRepresentation
bin101101110100…
…000111010000
3211121011112110
4231310013100
511033304221
61105225320
7204040251
oct55640720
924534473
1012009936
116863274
124032240
132646693
141848b28
1510c3776
hexb741d0

12009936 has 40 divisors (see below), whose sum is σ = 31249984. Its totient is φ = 3974400.

The previous prime is 12009923. The next prime is 12009937. The reversal of 12009936 is 63990021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009937) 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 7 ways as a sum of consecutive naturals, for example, 6420 + ... + 8076.

Almost surely, 212009936 is an apocalyptic number.

12009936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12009936 is an abundant number, since it is smaller than the sum of its proper divisors (19240048).

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

12009936 is a wasteful number, since it uses less digits than its factorization.

12009936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 12009936 is about 3465.5354564627. The cubic root of 12009936 is about 229.0060193049.

Adding to 12009936 its reverse (63990021), we get a palindrome (75999957).

The spelling of 12009936 in words is "twelve million, nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1657 1812 2416 3314 3624 4971 6628 7248 9942 13256 19884 26512 39768 79536 250207 500414 750621 1000828 1501242 2001656 3002484 4003312 6004968 12009936