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214928 = 24719101
BaseRepresentation
bin110100011110010000
3101220211022
4310132100
523334203
64335012
71553420
oct643620
9356738
10214928
1113752a
12a4468
1376a9c
1458480
1543a38
hex34790

214928 has 40 divisors (see below), whose sum is σ = 505920. Its totient is φ = 86400.

The previous prime is 214913. The next prime is 214939. The reversal of 214928 is 829412.

It is a junction number, because it is equal to n+sod(n) for n = 214897 and 214906.

It is an unprimeable number.

214928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2078 + ... + 2178.

It is an arithmetic number, because the mean of its divisors is an integer number (12648).

2214928 is an apocalyptic number.

214928 is a gapful number since it is divisible by the number (28) 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 214928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252960).

214928 is an abundant number, since it is smaller than the sum of its proper divisors (290992).

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

214928 is a wasteful number, since it uses less digits than its factorization.

214928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 214928 is about 463.6032786769. The cubic root of 214928 is about 59.9005760798.

The spelling of 214928 in words is "two hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 101 112 133 152 202 266 304 404 532 707 808 1064 1414 1616 1919 2128 2828 3838 5656 7676 11312 13433 15352 26866 30704 53732 107464 214928