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1206848 = 26109173
BaseRepresentation
bin100100110101001000000
32021022111002
410212221000
5302104343
641511132
713154336
oct4465100
92238432
101206848
117547a5
124a24a8
13333416
14235b56
1518c8b8
hex126a40

1206848 has 28 divisors (see below), whose sum is σ = 2430780. Its totient is φ = 594432.

The previous prime is 1206841. The next prime is 1206869. The reversal of 1206848 is 8486021.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 222784 = 992^2 + 472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1206848.

It is not an unprimeable number, because it can be changed into a prime (1206841) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6890 + ... + 7062.

21206848 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 1206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215390).

1206848 is an abundant number, since it is smaller than the sum of its proper divisors (1223932).

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

1206848 is a wasteful number, since it uses less digits than its factorization.

1206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1206848 is about 1098.5663384612. The cubic root of 1206848 is about 106.4676148896.

The spelling of 1206848 in words is "one million, two hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 109 173 218 346 436 692 872 1384 1744 2768 3488 5536 6976 11072 18857 37714 75428 150856 301712 603424 1206848