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1110424320 = 28325412351
BaseRepresentation
bin100001000101111…
…1011101100000000
32212101110101210200
41002023323230000
54233232034240
6302104125200
736342310455
oct10213735400
92771411720
101110424320
1151a895255
1226ba66800
13149090715
14a769382c
1567744930
hex422fbb00

1110424320 has 216 divisors, whose sum is σ = 3937332672. Its totient is φ = 288768000.

The previous prime is 1110424313. The next prime is 1110424333. The reversal of 1110424320 is 234240111.

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 = 1110424293 and 1110424302.

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 23 ways as a sum of consecutive naturals, for example, 471145 + ... + 473495.

It is an arithmetic number, because the mean of its divisors is an integer number (18228392).

Almost surely, 21110424320 is an apocalyptic number.

1110424320 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 1110424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968666336).

1110424320 is an abundant number, since it is smaller than the sum of its proper divisors (2826908352).

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

1110424320 is a wasteful number, since it uses less digits than its factorization.

1110424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1110424320 is about 33323.0298742476. The cubic root of 1110424320 is about 1035.5307227009.

Adding to 1110424320 its reverse (234240111), we get a palindrome (1344664431).

The spelling of 1110424320 in words is "one billion, one hundred ten million, four hundred twenty-four thousand, three hundred twenty".