Search a number
-
+
2143200 = 253521947
BaseRepresentation
bin1000001011001111100000
311000212220210
420023033200
51022040300
6113534120
724134253
oct10131740
94025823
102143200
111234244
12874340
135a0687
143db09a
152c5050
hex20b3e0

2143200 has 144 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 529920.

The previous prime is 2143199. The next prime is 2143201. The reversal of 2143200 is 23412.

It is an interprime number because it is at equal distance from previous prime (2143199) and next prime (2143201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45577 + ... + 45623.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

22143200 is an apocalyptic number.

2143200 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 2143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2143200 is an abundant number, since it is smaller than the sum of its proper divisors (5356320).

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

2143200 is a wasteful number, since it uses less digits than its factorization.

2143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2143200 is about 1463.9672127476. The cubic root of 2143200 is about 128.9300744762.

Adding to 2143200 its reverse (23412), we get a palindrome (2166612).

The spelling of 2143200 in words is "two million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 47 48 50 57 60 75 76 80 94 95 96 100 114 120 141 150 152 160 188 190 200 228 235 240 282 285 300 304 376 380 400 456 470 475 480 564 570 600 608 705 752 760 800 893 912 940 950 1128 1140 1175 1200 1410 1425 1504 1520 1786 1824 1880 1900 2256 2280 2350 2400 2679 2820 2850 3040 3525 3572 3760 3800 4465 4512 4560 4700 5358 5640 5700 7050 7144 7520 7600 8930 9120 9400 10716 11280 11400 13395 14100 14288 15200 17860 18800 21432 22325 22560 22800 26790 28200 28576 35720 37600 42864 44650 45600 53580 56400 66975 71440 85728 89300 107160 112800 133950 142880 178600 214320 267900 357200 428640 535800 714400 1071600 2143200