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1106368 = 2659293
BaseRepresentation
bin100001110000111000000
32002012122121
410032013000
5240400433
635414024
712255364
oct4160700
92065577
101106368
1169625a
12454314
132c9773
1420b2a4
1516cc2d
hex10e1c0

1106368 has 28 divisors (see below), whose sum is σ = 2240280. Its totient is φ = 541952.

The previous prime is 1106363. The next prime is 1106381. The reversal of 1106368 is 8636011.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106363) 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, 3630 + ... + 3922.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

21106368 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 1106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120140).

1106368 is an abundant number, since it is smaller than the sum of its proper divisors (1133912).

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

1106368 is an equidigital number, since it uses as much as digits as its factorization.

1106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1106368 is about 1051.8402920596. The cubic root of 1106368 is about 103.4268271649.

The spelling of 1106368 in words is "one million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 236 293 472 586 944 1172 1888 2344 3776 4688 9376 17287 18752 34574 69148 138296 276592 553184 1106368