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12395820 = 2235206597
BaseRepresentation
bin101111010010…
…010100101100
3212022202212110
4233102110230
511133131240
61121404020
7210235263
oct57222454
925282773
1012395820
116aa7188
124199610
132750208
1419095da
15114cc80
hexbd252c

12395820 has 24 divisors (see below), whose sum is σ = 34708464. Its totient is φ = 3305536.

The previous prime is 12395813. The next prime is 12395821. The reversal of 12395820 is 2859321.

It is a happy number.

12395820 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 (30).

It is not an unprimeable number, because it can be changed into a prime (12395821) 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, 103239 + ... + 103358.

It is an arithmetic number, because the mean of its divisors is an integer number (1446186).

Almost surely, 212395820 is an apocalyptic number.

12395820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12395820 is an abundant number, since it is smaller than the sum of its proper divisors (22312644).

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

12395820 is a wasteful number, since it uses less digits than its factorization.

12395820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206609 (or 206607 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12395820 is about 3520.7698021882. The cubic root of 12395820 is about 231.4328945128.

The spelling of 12395820 in words is "twelve million, three hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 206597 413194 619791 826388 1032985 1239582 2065970 2479164 3098955 4131940 6197910 12395820