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210868 = 22717443
BaseRepresentation
bin110011011110110100
3101201020221
4303132310
523221433
64304124
71535530
oct633664
9351227
10210868
11134479
12a2044
1374c98
1456bc0
154272d
hex337b4

210868 has 24 divisors (see below), whose sum is σ = 447552. Its totient is φ = 84864.

The previous prime is 210857. The next prime is 210869. The reversal of 210868 is 868012.

210868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2210868 is an apocalyptic number.

210868 is a gapful number since it is divisible by the number (28) 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 210868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223776).

210868 is an abundant number, since it is smaller than the sum of its proper divisors (236684).

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

210868 is a wasteful number, since it uses less digits than its factorization.

210868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 210868 is about 459.2036585220. The cubic root of 210868 is about 59.5210009900.

It can be divided in two parts, 2 and 10868, that multiplied together give a triangular number (21736 = T208).

The spelling of 210868 in words is "two hundred ten thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 443 476 886 1772 3101 6202 7531 12404 15062 30124 52717 105434 210868