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210314118 = 237431011153
BaseRepresentation
bin11001000100100…
…10001110000110
3112122202001201210
430202102032012
5412320022433
632511432250
75132432460
oct1442221606
9478661653
10210314118
11a8798123
125a525686
1334758b31
141dd09130
15136e5463
hexc892386

210314118 has 64 divisors (see below), whose sum is σ = 497198592. Its totient is φ = 58060800.

The previous prime is 210314101. The next prime is 210314129. The reversal of 210314118 is 811413012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210314094 and 210314103.

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 31 ways as a sum of consecutive naturals, for example, 181830 + ... + 182982.

It is an arithmetic number, because the mean of its divisors is an integer number (7768728).

Almost surely, 2210314118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210314118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248599296).

210314118 is an abundant number, since it is smaller than the sum of its proper divisors (286884474).

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

210314118 is a wasteful number, since it uses less digits than its factorization.

210314118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 210314118 is about 14502.2107969785. The cubic root of 210314118 is about 594.6884115805.

The spelling of 210314118 in words is "two hundred ten million, three hundred fourteen thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 101 129 202 258 301 303 602 606 707 903 1153 1414 1806 2121 2306 3459 4242 4343 6918 8071 8686 13029 16142 24213 26058 30401 48426 49579 60802 91203 99158 116453 148737 182406 232906 297474 347053 349359 694106 698718 815171 1041159 1630342 2082318 2445513 4891026 5007479 10014958 15022437 30044874 35052353 70104706 105157059 210314118