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206496 = 2533239
BaseRepresentation
bin110010011010100000
3101111021000
4302122200
523101441
64232000
71520013
oct623240
9344230
10206496
11131164
129b600
1372cb4
145537a
15412b6
hex326a0

206496 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 68544.

The previous prime is 206489. The next prime is 206501. The reversal of 206496 is 694602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

206496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2206496 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 206496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

206496 is an abundant number, since it is smaller than the sum of its proper divisors (398304).

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

206496 is a wasteful number, since it uses less digits than its factorization.

206496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206496 is about 454.4183094903. The cubic root of 206496 is about 59.1067682733.

The spelling of 206496 in words is "two hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 239 288 432 478 717 864 956 1434 1912 2151 2868 3824 4302 5736 6453 7648 8604 11472 12906 17208 22944 25812 34416 51624 68832 103248 206496