Search a number
-
+
2143800 = 233352397
BaseRepresentation
bin1000001011011000111000
311000220202000
420023120320
51022100200
6113541000
724136101
oct10133070
94026660
102143800
11123473a
12874760
135a0a29
143db3a8
152c5300
hex20b638

2143800 has 96 divisors (see below), whose sum is σ = 7402800. Its totient is φ = 570240.

The previous prime is 2143793. The next prime is 2143829. The reversal of 2143800 is 83412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5202 + ... + 5598.

22143800 is an apocalyptic number.

2143800 is a gapful number since it is divisible by the number (20) 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 2143800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701400).

2143800 is an abundant number, since it is smaller than the sum of its proper divisors (5259000).

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

2143800 is a wasteful number, since it uses less digits than its factorization.

2143800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2143800 is about 1464.1721210295. The cubic root of 2143800 is about 128.9421049022.

The spelling of 2143800 in words is "two million, one hundred forty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 397 450 540 600 675 794 900 1080 1191 1350 1588 1800 1985 2382 2700 3176 3573 3970 4764 5400 5955 7146 7940 9528 9925 10719 11910 14292 15880 17865 19850 21438 23820 28584 29775 35730 39700 42876 47640 53595 59550 71460 79400 85752 89325 107190 119100 142920 178650 214380 238200 267975 357300 428760 535950 714600 1071900 2143800