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1105505568 = 25323838561
BaseRepresentation
bin100000111100100…
…1010110100100000
32212001012111112200
41001321022310200
54231002134233
6301410453200
736252433206
oct10171126440
92761174480
101105505568
11518035772
1226a294200
1314805a90b
14a6b73076
15670c2313
hex41e4ad20

1105505568 has 36 divisors (see below), whose sum is σ = 3143782278. Its totient is φ = 368501760.

The previous prime is 1105505567. The next prime is 1105505581. The reversal of 1105505568 is 8655055011.

It can be written as a sum of positive squares in only one way, i.e., 1018120464 + 87385104 = 31908^2 + 9348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1105505567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1918993 + ... + 1919568.

Almost surely, 21105505568 is an apocalyptic number.

1105505568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1105505568 is an abundant number, since it is smaller than the sum of its proper divisors (2038276710).

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

1105505568 is a wasteful number, since it uses less digits than its factorization.

1105505568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838577 (or 3838566 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The square root of 1105505568 is about 33249.1438686773. The cubic root of 1105505568 is about 1033.9994587628. Note that the first 3 decimals are identical.

The spelling of 1105505568 in words is "one billion, one hundred five million, five hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3838561 7677122 11515683 15354244 23031366 30708488 34547049 46062732 61416976 69094098 92125464 122833952 138188196 184250928 276376392 368501856 552752784 1105505568