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12385728 = 263221503
BaseRepresentation
bin101111001111…
…110111000000
3212022021000200
4233033313000
511132320403
61121245200
7210163665
oct57176700
925267020
1012385728
116a9a643
124193800
132748744
141905a6c
151149ca3
hexbcfdc0

12385728 has 42 divisors (see below), whose sum is σ = 35503104. Its totient is φ = 4128384.

The previous prime is 12385727. The next prime is 12385757. The reversal of 12385728 is 82758321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12385692 and 12385701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12385727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10176 + ... + 11327.

It is an arithmetic number, because the mean of its divisors is an integer number (845312).

Almost surely, 212385728 is an apocalyptic number.

12385728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12385728 is an abundant number, since it is smaller than the sum of its proper divisors (23117376).

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

12385728 is a wasteful number, since it uses less digits than its factorization.

12385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21521 (or 21508 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12385728 is about 3519.3363010659. The cubic root of 12385728 is about 231.3700707840.

The spelling of 12385728 in words is "twelve million, three hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21503 43006 64509 86012 129018 172024 193527 258036 344048 387054 516072 688096 774108 1032144 1376192 1548216 2064288 3096432 4128576 6192864 12385728