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213828860 = 22571527349
BaseRepresentation
bin11001011111011…
…00010011111100
3112220100122001102
430233230103330
5414220010420
633115032232
75204341520
oct1457542374
9486318042
10213828860
11aa778873
125b73b678
13353b986b
1420581d80
1513b8ba75
hexcbec4fc

213828860 has 24 divisors (see below), whose sum is σ = 513189600. Its totient is φ = 73312704.

The previous prime is 213828841. The next prime is 213828913. The reversal of 213828860 is 68828312.

213828860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763535 + ... + 763814.

It is an arithmetic number, because the mean of its divisors is an integer number (21382900).

Almost surely, 2213828860 is an apocalyptic number.

213828860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213828860 is an abundant number, since it is smaller than the sum of its proper divisors (299360740).

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

213828860 is a wasteful number, since it uses less digits than its factorization.

213828860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527365 (or 1527363 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 213828860 is about 14622.8882236034. Note that the first 3 decimals coincide. The cubic root of 213828860 is about 597.9829117088.

The spelling of 213828860 in words is "two hundred thirteen million, eight hundred twenty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1527349 3054698 6109396 7636745 10691443 15273490 21382886 30546980 42765772 53457215 106914430 213828860