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12095384 = 237435023
BaseRepresentation
bin101110001000…
…111110011000
3211202111202012
4232020332120
511044023014
61111125052
7204544340
oct56107630
924674665
1012095384
116911494
124073788
132676542
14186bd20
1510ddc3e
hexb88f98

12095384 has 32 divisors (see below), whose sum is σ = 26526720. Its totient is φ = 5062176.

The previous prime is 12095371. The next prime is 12095389. The reversal of 12095384 is 48359021.

12095384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12095384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12095389) 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, 104 + ... + 4919.

It is an arithmetic number, because the mean of its divisors is an integer number (828960).

Almost surely, 212095384 is an apocalyptic number.

12095384 is a gapful number since it is divisible by the number (14) 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 12095384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263360).

12095384 is an abundant number, since it is smaller than the sum of its proper divisors (14431336).

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

12095384 is a wasteful number, since it uses less digits than its factorization.

12095384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 12095384 is about 3477.8418595445. The cubic root of 12095384 is about 229.5478451549.

The spelling of 12095384 in words is "twelve million, ninety-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 5023 10046 20092 35161 40184 70322 140644 215989 281288 431978 863956 1511923 1727912 3023846 6047692 12095384