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1104012096 = 263111797317
BaseRepresentation
bin100000111001101…
…1110001101000000
32211221101121212220
41001303132031000
54230111341341
6301314451040
736233643105
oct10163361500
92757347786
101104012096
115172056a0
12269893a80
13147956bc5
14a68a4aac
1566dc9a66
hex41cde340

1104012096 has 224 divisors, whose sum is σ = 3419563392. Its totient is φ = 310640640.

The previous prime is 1104012061. The next prime is 1104012097. The reversal of 1104012096 is 6902104011.

It is a super-2 number, since 2×11040120962 = 2437685416228626432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104012097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3482530 + ... + 3482846.

It is an arithmetic number, because the mean of its divisors is an integer number (15265908).

Almost surely, 21104012096 is an apocalyptic number.

1104012096 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 1104012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709781696).

1104012096 is an abundant number, since it is smaller than the sum of its proper divisors (2315551296).

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

1104012096 is a wasteful number, since it uses less digits than its factorization.

1104012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1104012096 is about 33226.6774745836. The cubic root of 1104012096 is about 1033.5336250897.

The spelling of 1104012096 in words is "one billion, one hundred four million, twelve thousand, ninety-six".