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1104405120 = 27325731343
BaseRepresentation
bin100000111010011…
…1110001010000000
32211222010121000100
41001310332022000
54230211430440
6301331122400
736240201000
oct10164761200
92758117010
101104405120
11517453a05
12269a43400
13147a63a70
14a6968000
1566e56230
hex41d3e280

1104405120 has 768 divisors, whose sum is σ = 4900896000. Its totient is φ = 227598336.

The previous prime is 1104405109. The next prime is 1104405121. The reversal of 1104405120 is 215044011.

1104405120 is a `hidden beast` number, since 110 + 4 + 40 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1104405093 and 1104405102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104405121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683819 + ... + 25683861.

It is an arithmetic number, because the mean of its divisors is an integer number (6381375).

Almost surely, 21104405120 is an apocalyptic number.

1104405120 is a gapful number since it is divisible by the number (10) 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 1104405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450448000).

1104405120 is an abundant number, since it is smaller than the sum of its proper divisors (3796490880).

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

1104405120 is a wasteful number, since it uses less digits than its factorization.

1104405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1104405120 is about 33232.5912321023. The cubic root of 1104405120 is about 1033.6562551853.

Adding to 1104405120 its reverse (215044011), we get a palindrome (1319449131).

The spelling of 1104405120 in words is "one billion, one hundred four million, four hundred five thousand, one hundred twenty".