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12390 = 235759

12390 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 2784.

The previous prime is 12379. The next prime is 12391. The reversal of 12390 is 9321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

212390 is an apocalyptic number.

12390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

12390 is an abundant number, since it is smaller than the sum of its proper divisors (22170).

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

12390 is a wasteful number, since it uses less digits than its factorization.

12390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 12390 is about 111.3103768748. The cubic root of 12390 is about 23.1396668583.

The spelling of 12390 in words is "twelve thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 6195 12390