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12395628 = 2232727027
BaseRepresentation
bin101111010010…
…010001101100
3212022202121100
4233102101230
511133130003
61121403100
7210234600
oct57222154
925282540
1012395628
116aa7023
124199490
1327500bb
141909500
15114cba3
hexbd246c

12395628 has 54 divisors (see below), whose sum is σ = 36454236. Its totient is φ = 3541104.

The previous prime is 12395599. The next prime is 12395641. The reversal of 12395628 is 82659321.

12395628 is a `hidden beast` number, since 1 + 23 + 9 + 5 + 628 = 666.

12395628 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 12395592 and 12395601.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1750 + ... + 5277.

Almost surely, 212395628 is an apocalyptic number.

12395628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12395628 is an abundant number, since it is smaller than the sum of its proper divisors (24058608).

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

12395628 is a wasteful number, since it uses less digits than its factorization.

12395628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7051 (or 7039 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12395628 is about 3520.7425353184. The cubic root of 12395628 is about 231.4316996115.

The spelling of 12395628 in words is "twelve million, three hundred ninety-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7027 14054 21081 28108 42162 49189 63243 84324 98378 126486 147567 196756 252972 295134 344323 442701 590268 688646 885402 1032969 1377292 1770804 2065938 3098907 4131876 6197814 12395628