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12073936 = 247671609
BaseRepresentation
bin101110000011…
…101111010000
3211201102022211
4232003233100
511042331221
61110441504
7204424660
oct56035720
924642284
1012073936
1168a7366
124063294
132669854
1418641a0
1510d76e1
hexb83bd0

12073936 has 40 divisors (see below), whose sum is σ = 27151040. Its totient is φ = 5094144.

The previous prime is 12073921. The next prime is 12073939. The reversal of 12073936 is 63937021.

12073936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12073898 and 12073907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073939) 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, 6700 + ... + 8308.

It is an arithmetic number, because the mean of its divisors is an integer number (678776).

Almost surely, 212073936 is an apocalyptic number.

12073936 is a gapful number since it is divisible by the number (16) 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 12073936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575520).

12073936 is an abundant number, since it is smaller than the sum of its proper divisors (15077104).

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

12073936 is a wasteful number, since it uses less digits than its factorization.

12073936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 12073936 is about 3474.7569699189. The cubic root of 12073936 is about 229.4120838556.

The spelling of 12073936 in words is "twelve million, seventy-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1609 1876 3218 3752 6436 7504 11263 12872 22526 25744 45052 90104 107803 180208 215606 431212 754621 862424 1509242 1724848 3018484 6036968 12073936