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1104605040 = 243572118539
BaseRepresentation
bin100000111010110…
…1110111101110000
32211222111202020210
41001311232331300
54230234330130
6301335304120
736241662600
oct10165567560
92758452223
101104605040
11517580130
12269b1b040
13147b03a66
14a69bac00
1566e955b0
hex41d6ef70

1104605040 has 240 divisors, whose sum is σ = 4345971840. Its totient is φ = 229501440.

The previous prime is 1104605023. The next prime is 1104605059. The reversal of 1104605040 is 405064011.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1104604998 and 1104605016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125091 + ... + 133629.

It is an arithmetic number, because the mean of its divisors is an integer number (18108216).

Almost surely, 21104605040 is an apocalyptic number.

1104605040 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 1104605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172985920).

1104605040 is an abundant number, since it is smaller than the sum of its proper divisors (3241366800).

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

1104605040 is a wasteful number, since it uses less digits than its factorization.

1104605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1104605040 is about 33235.5989866288. The cubic root of 1104605040 is about 1033.7186224232.

Adding to 1104605040 its reverse (405064011), we get a palindrome (1509669051).

The spelling of 1104605040 in words is "one billion, one hundred four million, six hundred five thousand, forty".