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206064 = 243553
BaseRepresentation
bin110010010011110000
3101110200000
4302103300
523043224
64230000
71515525
oct622360
9343600
10206064
11130901
129b300
1372a41
145514c
15410c9
hex324f0

206064 has 60 divisors (see below), whose sum is σ = 609336. Its totient is φ = 67392.

The previous prime is 206051. The next prime is 206069. The reversal of 206064 is 460602.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206064.

It is not an unprimeable number, because it can be changed into a prime (206069) by changing a digit.

206064 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 11 ways as a sum of consecutive naturals, for example, 3862 + ... + 3914.

2206064 is an apocalyptic number.

206064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

206064 is the 243-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

206064 is an abundant number, since it is smaller than the sum of its proper divisors (403272).

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

206064 is an equidigital number, since it uses as much as digits as its factorization.

206064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206064 is about 453.9427276651. The cubic root of 206064 is about 59.0655213874.

Adding to 206064 its reverse (460602), we get a palindrome (666666).

It can be divided in two parts, 20 and 6064, that added together give a square (6084 = 782).

The spelling of 206064 in words is "two hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 848 954 972 1272 1296 1431 1908 1944 2544 2862 3816 3888 4293 5724 7632 8586 11448 12879 17172 22896 25758 34344 51516 68688 103032 206064