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14395136 = 28729277
BaseRepresentation
bin110110111010…
…011100000000
31000002100102012
4312322130000
512141121021
61232312052
7233233220
oct66723400
930070365
1014395136
118142308
1249a2628
132ca0242
141caa080
1513e535b
hexdba700

14395136 has 72 divisors (see below), whose sum is σ = 34093920. Its totient is φ = 5935104.

The previous prime is 14395061. The next prime is 14395159. The reversal of 14395136 is 63159341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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, 51830 + ... + 52106.

Almost surely, 214395136 is an apocalyptic number.

14395136 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 14395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046960).

14395136 is an abundant number, since it is smaller than the sum of its proper divisors (19698784).

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

14395136 is an equidigital number, since it uses as much as digits as its factorization.

14395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 14395136 is about 3794.0922498010. The cubic root of 14395136 is about 243.2606843025.

It can be divided in two parts, 14 and 395136, that multiplied together give a square (5531904 = 23522).

The spelling of 14395136 in words is "fourteen million, three hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 277 406 448 464 554 812 896 928 1108 1624 1792 1856 1939 2216 3248 3712 3878 4432 6496 7424 7756 8033 8864 12992 15512 16066 17728 25984 31024 32132 35456 51968 56231 62048 64264 70912 112462 124096 128528 224924 248192 257056 449848 496384 514112 899696 1028224 1799392 2056448 3598784 7197568 14395136