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1006208 = 2771123
BaseRepresentation
bin11110101101010000000
31220010020222
43311222000
5224144313
633322212
711360360
oct3655200
91803228
101006208
11627a85
12406368
13292cb8
141c29a0
1514d208
hexf5a80

1006208 has 32 divisors (see below), whose sum is σ = 2292960. Its totient is φ = 430848.

The previous prime is 1006193. The next prime is 1006217. The reversal of 1006208 is 8026001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335 + ... + 1457.

It is an arithmetic number, because the mean of its divisors is an integer number (71655).

21006208 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 1006208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146480).

1006208 is an abundant number, since it is smaller than the sum of its proper divisors (1286752).

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

1006208 is an equidigital number, since it uses as much as digits as its factorization.

1006208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1006208 is about 1003.0991974875. The cubic root of 1006208 is about 100.2065065901.

The spelling of 1006208 in words is "one million, six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1123 2246 4492 7861 8984 15722 17968 31444 35936 62888 71872 125776 143744 251552 503104 1006208