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210308 = 22722937
BaseRepresentation
bin110011010110000100
3101200111012
4303112010
523212213
64301352
71534100
oct632604
9350435
10210308
1113400a
12a1858
1374957
1456900
15424a8
hex33584

210308 has 36 divisors (see below), whose sum is σ = 454860. Its totient is φ = 84672.

The previous prime is 210299. The next prime is 210317. The reversal of 210308 is 803012.

It is an interprime number because it is at equal distance from previous prime (210299) and next prime (210317).

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 56644 = 392^2 + 238^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210292 and 210301.

It is a congruent number.

It is an unprimeable number.

210308 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5666 + ... + 5702.

It is an arithmetic number, because the mean of its divisors is an integer number (12635).

2210308 is an apocalyptic number.

210308 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 210308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227430).

210308 is an abundant number, since it is smaller than the sum of its proper divisors (244552).

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

210308 is a wasteful number, since it uses less digits than its factorization.

210308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 210308 is about 458.5935019165. The cubic root of 210308 is about 59.4682645065.

Subtracting 210308 from its reverse (803012), we obtain a cube (592704 = 843).

The spelling of 210308 in words is "two hundred ten thousand, three hundred eight".

Divisors: 1 2 4 7 14 28 29 37 49 58 74 98 116 148 196 203 259 406 518 812 1036 1073 1421 1813 2146 2842 3626 4292 5684 7252 7511 15022 30044 52577 105154 210308