Search a number
-
+
239800 = 235211109
BaseRepresentation
bin111010100010111000
3110011221111
4322202320
530133200
65050104
72016061
oct724270
9404844
10239800
11154190
12b6934
13851c2
1463568
154b0ba
hex3a8b8

239800 has 48 divisors (see below), whose sum is σ = 613800. Its totient is φ = 86400.

The previous prime is 239783. The next prime is 239803. The reversal of 239800 is 8932.

Subtracting from 239800 its sum of digits (22), we obtain a triangular number (239778 = T692).

239800 is digitally balanced in base 2, 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 (22).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239803) 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, 2146 + ... + 2254.

2239800 is an apocalyptic number.

239800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239800 is the 400-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306900).

239800 is an abundant number, since it is smaller than the sum of its proper divisors (374000).

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

239800 is a wasteful number, since it uses less digits than its factorization.

239800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 239800 is about 489.6937818678. The cubic root of 239800 is about 62.1273829189.

The spelling of 239800 in words is "two hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 200 218 220 275 436 440 545 550 872 1090 1100 1199 2180 2200 2398 2725 4360 4796 5450 5995 9592 10900 11990 21800 23980 29975 47960 59950 119900 239800