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213966 = 23211887
BaseRepresentation
bin110100001111001110
3101212111200
4310033032
523321331
64330330
71550544
oct641716
9355450
10213966
11136835
12a39a6
137650c
1457d94
15435e6
hex343ce

213966 has 12 divisors (see below), whose sum is σ = 463632. Its totient is φ = 71316.

The previous prime is 213953. The next prime is 213973. The reversal of 213966 is 669312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

213966 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 5 ways as a sum of consecutive naturals, for example, 5926 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (38636).

2213966 is an apocalyptic number.

213966 is an abundant number, since it is smaller than the sum of its proper divisors (249666).

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

213966 is a wasteful number, since it uses less digits than its factorization.

213966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11895 (or 11892 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 213966 is about 462.5645900845. The cubic root of 213966 is about 59.8110723971.

The spelling of 213966 in words is "two hundred thirteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 11887 23774 35661 71322 106983 213966