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12395940 = 2235415039
BaseRepresentation
bin101111010010…
…010110100100
3212022210000220
4233102112210
511133132230
61121404340
7210235524
oct57222644
925283026
1012395940
116aa7287
1241996b0
13275029b
141909684
15114cd10
hexbd25a4

12395940 has 48 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3224320.

The previous prime is 12395927. The next prime is 12395983. The reversal of 12395940 is 4959321.

12395940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×123959404 (a number of 29 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 212395940 is an apocalyptic number.

12395940 is a gapful number since it is divisible by the number (10) 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 12395940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

12395940 is an abundant number, since it is smaller than the sum of its proper divisors (23166300).

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

12395940 is a wasteful number, since it uses less digits than its factorization.

12395940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 12395940 is about 3520.7868438745. The cubic root of 12395940 is about 231.4336413199.

The spelling of 12395940 in words is "twelve million, three hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 5039 10078 15117 20156 25195 30234 50390 60468 75585 100780 151170 206599 302340 413198 619797 826396 1032995 1239594 2065990 2479188 3098985 4131980 6197970 12395940