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12400 = 245231
BaseRepresentation
bin11000001110000
3122000021
43001300
5344100
6133224
751103
oct30160
918007
1012400
119353
127214
13584b
14473a
153a1a
hex3070

12400 has 30 divisors (see below), whose sum is σ = 30752. Its totient is φ = 4800.

The previous prime is 12391. The next prime is 12401. The reversal of 12400 is 421.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 385 + ... + 415.

212400 is an apocalyptic number.

12400 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 12400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376).

12400 is an abundant number, since it is smaller than the sum of its proper divisors (18352).

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

12400 is a wasteful number, since it uses less digits than its factorization.

12400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12400 is about 111.3552872566. The cubic root of 12400 is about 23.1458905453.

Adding to 12400 its reverse (421), we get a palindrome (12821).

It can be divided in two parts, 1 and 2400, that added together give a 4-th power (2401 = 74).

The spelling of 12400 in words is "twelve thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400