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1108968 = 233722341
BaseRepresentation
bin100001110101111101000
32002100012220
410032233220
5240441333
635434040
712266100
oct4165750
92070186
101108968
11698203
12455920
132ca9c3
1420c200
1516d8b3
hex10ebe8

1108968 has 96 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 295680.

The previous prime is 1108967. The next prime is 1108993. The reversal of 1108968 is 8698011.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1108967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27028 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

21108968 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 1108968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1108968 is an abundant number, since it is smaller than the sum of its proper divisors (2338392).

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

1108968 is a wasteful number, since it uses less digits than its factorization.

1108968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1108968 is about 1053.0754958691. The cubic root of 1108968 is about 103.5077825602.

The spelling of 1108968 in words is "one million, one hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 41 42 46 49 56 69 82 84 92 98 123 138 147 161 164 168 184 196 246 276 287 294 322 328 392 483 492 552 574 588 644 861 943 966 984 1127 1148 1176 1288 1722 1886 1932 2009 2254 2296 2829 3381 3444 3772 3864 4018 4508 5658 6027 6601 6762 6888 7544 8036 9016 11316 12054 13202 13524 16072 19803 22632 24108 26404 27048 39606 46207 48216 52808 79212 92414 138621 158424 184828 277242 369656 554484 1108968