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1105520064 = 263111741751
BaseRepresentation
bin100000111100100…
…1110010111000000
32212001020020102120
41001321032113000
54231003120224
6301411044240
736252523365
oct10171162700
92761206376
101105520064
11518045650
1226a2a0680
131480643ac
14a6b7846c
15670c6779
hex41e4e5c0

1105520064 has 224 divisors, whose sum is σ = 3465649152. Its totient is φ = 307200000.

The previous prime is 1105520063. The next prime is 1105520123. The reversal of 1105520064 is 4600255011.

It is a super-2 number, since 2×11055200642 = 2444349223813128192, 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 (1105520063) 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, 1471689 + ... + 1472439.

It is an arithmetic number, because the mean of its divisors is an integer number (15471648).

Almost surely, 21105520064 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 1105520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732824576).

1105520064 is an abundant number, since it is smaller than the sum of its proper divisors (2360129088).

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

1105520064 is a wasteful number, since it uses less digits than its factorization.

1105520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1105520064 is about 33249.3618585380. The cubic root of 1105520064 is about 1034.0039782005.

Adding to 1105520064 its reverse (4600255011), we get a palindrome (5705775075).

The spelling of 1105520064 in words is "one billion, one hundred five million, five hundred twenty thousand, sixty-four".