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213810296 = 23734711003
BaseRepresentation
bin11001011111001…
…11110001111000
3112220022200120212
430233213301320
5414213412141
633114410252
75204233430
oct1457476170
9486280525
10213810296
11aa765927
125b730988
13353b128b
14205792c0
1513b862eb
hexcbe7c78

213810296 has 32 divisors (see below), whose sum is σ = 459527040. Its totient is φ = 91360608.

The previous prime is 213810269. The next prime is 213810299. The reversal of 213810296 is 692018312.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213810299) by changing a digit.

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, 13931 + ... + 24933.

It is an arithmetic number, because the mean of its divisors is an integer number (14360220).

Almost surely, 2213810296 is an apocalyptic number.

It is an amenable number.

213810296 is an abundant number, since it is smaller than the sum of its proper divisors (245716744).

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

213810296 is a wasteful number, since it uses less digits than its factorization.

213810296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 213810296 is about 14622.2534515033. The cubic root of 213810296 is about 597.9656061620.

The spelling of 213810296 in words is "two hundred thirteen million, eight hundred ten thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 347 694 1388 2429 2776 4858 9716 11003 19432 22006 44012 77021 88024 154042 308084 616168 3818041 7636082 15272164 26726287 30544328 53452574 106905148 213810296