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213928 = 231121317
BaseRepresentation
bin110100001110101000
3101212110021
4310032220
523321203
64330224
71550461
oct641650
9355407
10213928
11136800
12a3974
13764b0
1457d68
15435bd
hex343a8

213928 has 48 divisors (see below), whose sum is σ = 502740. Its totient is φ = 84480.

The previous prime is 213919. The next prime is 213929. The reversal of 213928 is 829312.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 484 = 462^2 + 22^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12576 + ... + 12592.

2213928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251370).

213928 is an abundant number, since it is smaller than the sum of its proper divisors (288812).

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

213928 is a wasteful number, since it uses less digits than its factorization.

213928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 213928 is about 462.5235129158. The cubic root of 213928 is about 59.8075314057.

The spelling of 213928 in words is "two hundred thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 121 136 143 187 221 242 286 374 442 484 572 748 884 968 1144 1496 1573 1768 2057 2431 3146 4114 4862 6292 8228 9724 12584 16456 19448 26741 53482 106964 213928