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1108128 = 25371797
BaseRepresentation
bin100001110100010100000
32002022001210
410032202200
5240430003
635430120
712263460
oct4164240
92068053
101108128
1169760a
12455340
132ca4c8
1420bba0
1516d503
hex10e8a0

1108128 has 96 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 294912.

The previous prime is 1108127. The next prime is 1108147. The reversal of 1108128 is 8218011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108123) 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 15 ways as a sum of consecutive naturals, for example, 11376 + ... + 11472.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

21108128 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 1108128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

1108128 is an abundant number, since it is smaller than the sum of its proper divisors (2448096).

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

1108128 is a wasteful number, since it uses less digits than its factorization.

1108128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 1108128 is about 1052.6765885114. The cubic root of 1108128 is about 103.4816415897.

The spelling of 1108128 in words is "one million, one hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 97 102 112 119 136 168 194 204 224 238 272 291 336 357 388 408 476 544 582 672 679 714 776 816 952 1164 1358 1428 1552 1632 1649 1904 2037 2328 2716 2856 3104 3298 3808 4074 4656 4947 5432 5712 6596 8148 9312 9894 10864 11424 11543 13192 16296 19788 21728 23086 26384 32592 34629 39576 46172 52768 65184 69258 79152 92344 138516 158304 184688 277032 369376 554064 1108128