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213850936 = 231310120359
BaseRepresentation
bin11001011111100…
…01101100111000
3112220101202100001
430233301230320
5414221212221
633115322344
75204463055
oct1457615470
9486352301
10213850936
11aa793412
125b7503b4
13353c6920
142058a02c
1513b93391
hexcbf1b38

213850936 has 32 divisors (see below), whose sum is σ = 436111200. Its totient is φ = 97718400.

The previous prime is 213850921. The next prime is 213850937. The reversal of 213850936 is 639058312.

It is a junction number, because it is equal to n+sod(n) for n = 213850895 and 213850904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213850937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 20683.

It is an arithmetic number, because the mean of its divisors is an integer number (13628475).

Almost surely, 2213850936 is an apocalyptic number.

213850936 is a gapful number since it is divisible by the number (26) 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 213850936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218055600).

213850936 is an abundant number, since it is smaller than the sum of its proper divisors (222260264).

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

213850936 is a wasteful number, since it uses less digits than its factorization.

213850936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20479 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 213850936 is about 14623.6430481601. The cubic root of 213850936 is about 598.0034898735.

The spelling of 213850936 in words is "two hundred thirteen million, eight hundred fifty thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 10504 20359 40718 81436 162872 264667 529334 1058668 2056259 2117336 4112518 8225036 16450072 26731367 53462734 106925468 213850936