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13800 = 2335223
BaseRepresentation
bin11010111101000
3200221010
43113220
5420200
6143520
755143
oct32750
920833
1013800
11a406
127ba0
136387
14505a
154150
hex35e8

13800 has 48 divisors (see below), whose sum is σ = 44640. Its totient is φ = 3520.

The previous prime is 13799. The next prime is 13807. The reversal of 13800 is 831.

13800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

13800 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

213800 is an apocalyptic number.

13800 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 13800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

13800 is an abundant number, since it is smaller than the sum of its proper divisors (30840).

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

13800 is a wasteful number, since it uses less digits than its factorization.

13800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13800 is about 117.4734012447. The cubic root of 13800 is about 23.9861030658.

Multiplying 13800 by its sum of digits (12), we get a triangular number (165600 = T575).

Adding to 13800 its product of nonzero digits (24), we get a cube (13824 = 243).

13800 divided by its product of nonzero digits (24) gives a palindrome (575).

The spelling of 13800 in words is "thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800