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209712 = 24317257
BaseRepresentation
bin110011001100110000
3101122200010
4303030300
523202322
64254520
71532256
oct631460
9348603
10209712
11133618
12a1440
13745b9
14565d6
154220c
hex33330

209712 has 40 divisors (see below), whose sum is σ = 575856. Its totient is φ = 65536.

The previous prime is 209707. The next prime is 209717. The reversal of 209712 is 217902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (209707) and next prime (209717).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (209717) by changing a digit.

209712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 209712 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688 + ... + 944.

2209712 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 209712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287928).

209712 is an abundant number, since it is smaller than the sum of its proper divisors (366144).

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

209712 is a wasteful number, since it uses less digits than its factorization.

209712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 209712 is about 457.9432279224. The cubic root of 209712 is about 59.4120348819.

The spelling of 209712 in words is "two hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 257 272 408 514 771 816 1028 1542 2056 3084 4112 4369 6168 8738 12336 13107 17476 26214 34952 52428 69904 104856 209712