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12380 = 225619
BaseRepresentation
bin11000001011100
3121222112
43001130
5344010
6133152
751044
oct30134
917875
1012380
119335
1271b8
135834
144724
153a05
hex305c

12380 has 12 divisors (see below), whose sum is σ = 26040. Its totient is φ = 4944.

The previous prime is 12379. The next prime is 12391. The reversal of 12380 is 8321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (2170).

212380 is an apocalyptic number.

12380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12380 is an abundant number, since it is smaller than the sum of its proper divisors (13660).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020).

12380 is a wasteful number, since it uses less digits than its factorization.

12380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12380 is about 111.2654483656. The cubic root of 12380 is about 23.1334398217.

It can be divided in two parts, 12 and 380, that multiplied together give a triangular number (4560 = T95).

The spelling of 12380 in words is "twelve thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 619 1238 2476 3095 6190 12380