Search a number
-
+
2143700 = 2252131797
BaseRepresentation
bin1000001011010111010100
311000220121022
420023113110
51022044300
6113540312
724135566
oct10132724
94026538
102143700
111234659
12874698
135a0980
143db336
152c5285
hex20b5d4

2143700 has 72 divisors (see below), whose sum is σ = 5359032. Its totient is φ = 737280.

The previous prime is 2143667. The next prime is 2143711. The reversal of 2143700 is 73412.

2143700 = 982 + 992 + ... + 1942.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 698896 + 1444804 = 836^2 + 1202^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 22052 + ... + 22148.

It is an arithmetic number, because the mean of its divisors is an integer number (74431).

22143700 is an apocalyptic number.

2143700 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 2143700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679516).

2143700 is an abundant number, since it is smaller than the sum of its proper divisors (3215332).

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

2143700 is a wasteful number, since it uses less digits than its factorization.

2143700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2143700 is about 1464.1379716407. The cubic root of 2143700 is about 128.9400999871.

The spelling of 2143700 in words is "two million, one hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 97 100 130 170 194 221 260 325 340 388 425 442 485 650 850 884 970 1105 1261 1300 1649 1700 1940 2210 2425 2522 3298 4420 4850 5044 5525 6305 6596 8245 9700 11050 12610 16490 21437 22100 25220 31525 32980 41225 42874 63050 82450 85748 107185 126100 164900 214370 428740 535925 1071850 2143700