Search a number
-
+
1088896 = 2747181
BaseRepresentation
bin100001001110110000000
32001022200111
410021312000
5234321041
635201104
712153424
oct4116600
92038614
101088896
11684116
12446194
132c1823
14204b84
15167981
hex109d80

1088896 has 32 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 529920.

The previous prime is 1088851. The next prime is 1088903. The reversal of 1088896 is 6988801.

It is a happy number.

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

It is a congruent number.

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, 5926 + ... + 6106.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

21088896 is an apocalyptic number.

1088896 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 1088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

1088896 is an abundant number, since it is smaller than the sum of its proper divisors (1138784).

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

1088896 is an equidigital number, since it uses as much as digits as its factorization.

1088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 1088896 is about 1043.5017968360. The cubic root of 1088896 is about 102.8794895597.

The spelling of 1088896 in words is "one million, eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 181 188 362 376 724 752 1448 1504 2896 3008 5792 6016 8507 11584 17014 23168 34028 68056 136112 272224 544448 1088896