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10306218 = 2313711861
BaseRepresentation
bin100111010100…
…001010101010
3201101121110210
4213110022222
510114244333
61004521550
7153413166
oct47241252
921347423
1010306218
1158aa23a
1235502b6
13219b070
141523ca6
15d88a63
hex9d42aa

10306218 has 32 divisors (see below), whose sum is σ = 22522752. Its totient is φ = 3124800.

The previous prime is 10306217. The next prime is 10306243. The reversal of 10306218 is 81260301.

It is a junction number, because it is equal to n+sod(n) for n = 10306194 and 10306203.

It is not an unprimeable number, because it can be changed into a prime (10306217) 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 15 ways as a sum of consecutive naturals, for example, 4608 + ... + 6468.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 210306218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10306218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376).

10306218 is an abundant number, since it is smaller than the sum of its proper divisors (12216534).

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

10306218 is a wasteful number, since it uses less digits than its factorization.

10306218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10306218 is about 3210.3298895908. The cubic root of 10306218 is about 217.6204854966.

Adding to 10306218 its reverse (81260301), we get a palindrome (91566519).

The spelling of 10306218 in words is "ten million, three hundred six thousand, two hundred eighteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1846 1861 2769 3722 5538 5583 11166 24193 48386 72579 132131 145158 264262 396393 792786 1717703 3435406 5153109 10306218