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1106698320 = 24325721319127
BaseRepresentation
bin100000111110110…
…1110000001010000
32212010110002200200
41001331232001100
54231303321240
6301452215200
736265531500
oct10175560120
92763402620
101106698320
1151877a912
1226a76a500
131483877a0
14a6da3a00
156725a930
hex41f6e050

1106698320 has 720 divisors, whose sum is σ = 4939683840. Its totient is φ = 219469824.

The previous prime is 1106698303. The next prime is 1106698381. The reversal of 1106698320 is 238966011.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 8714097 + ... + 8714223.

It is an arithmetic number, because the mean of its divisors is an integer number (6860672).

Almost surely, 21106698320 is an apocalyptic number.

1106698320 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 1106698320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469841920).

1106698320 is an abundant number, since it is smaller than the sum of its proper divisors (3832985520).

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

1106698320 is a wasteful number, since it uses less digits than its factorization.

1106698320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1106698320 is about 33267.0756153889. The cubic root of 1106698320 is about 1034.3711926488.

The spelling of 1106698320 in words is "one billion, one hundred six million, six hundred ninety-eight thousand, three hundred twenty".