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210680 = 23523229
BaseRepresentation
bin110011011011111000
3101200222222
4303123320
523220210
64303212
71535141
oct633370
9350888
10210680
11134318
12a1b08
1374b82
1456ac8
1542655
hex336f8

210680 has 32 divisors (see below), whose sum is σ = 496800. Its totient is φ = 80256.

The previous prime is 210671. The next prime is 210709. The reversal of 210680 is 86012.

It is a Cunningham number, because it is equal to 4592-1.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 806 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (15525).

2210680 is an apocalyptic number.

210680 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 210680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248400).

210680 is an abundant number, since it is smaller than the sum of its proper divisors (286120).

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

210680 is a wasteful number, since it uses less digits than its factorization.

210680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 210680 is about 458.9989106741. The cubic root of 210680 is about 59.5033070214.

Adding to 210680 its reverse (86012), we get a palindrome (296692).

The spelling of 210680 in words is "two hundred ten thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 229 230 458 460 916 920 1145 1832 2290 4580 5267 9160 10534 21068 26335 42136 52670 105340 210680