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1208896 = 26131453
BaseRepresentation
bin100100111001001000000
32021102021221
410213021000
5302141041
641524424
713163323
oct4471100
92242257
101208896
11756297
124a3714
13334330
142367ba
1518d2d1
hex127240

1208896 has 28 divisors (see below), whose sum is σ = 2585212. Its totient is φ = 557568.

The previous prime is 1208873. The next prime is 1208927. The reversal of 1208896 is 6988021.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 462400 = 864^2 + 680^2 .

It is a super-2 number, since 2×12088962 = 2922859077632, which contains 22 as substring.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 106 + ... + 1558.

It is an arithmetic number, because the mean of its divisors is an integer number (92329).

21208896 is an apocalyptic number.

1208896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292606).

1208896 is an abundant number, since it is smaller than the sum of its proper divisors (1376316).

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

1208896 is a wasteful number, since it uses less digits than its factorization.

1208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1208896 is about 1099.4980673016. The cubic root of 1208896 is about 106.5278054166.

The spelling of 1208896 in words is "one million, two hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1453 2906 5812 11624 18889 23248 37778 46496 75556 92992 151112 302224 604448 1208896