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12075728 = 247137787
BaseRepresentation
bin101110000100…
…001011010000
3211201111210012
4232010023100
511042410403
61110454052
7204433130
oct56041320
924644705
1012075728
1168a8745
124064328
13266a602
141864ac0
1510d7ed8
hexb842d0

12075728 has 40 divisors (see below), whose sum is σ = 26968512. Its totient is φ = 5131008.

The previous prime is 12075677. The next prime is 12075731. The reversal of 12075728 is 82757021.

It is a junction number, because it is equal to n+sod(n) for n = 12075694 and 12075703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14951 + ... + 15737.

Almost surely, 212075728 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 12075728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484256).

12075728 is an abundant number, since it is smaller than the sum of its proper divisors (14892784).

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

12075728 is a wasteful number, since it uses less digits than its factorization.

12075728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 12075728 is about 3475.0148201123. The cubic root of 12075728 is about 229.4234329887.

The spelling of 12075728 in words is "twelve million, seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 787 959 1096 1574 1918 2192 3148 3836 5509 6296 7672 11018 12592 15344 22036 44072 88144 107819 215638 431276 754733 862552 1509466 1725104 3018932 6037864 12075728