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1130214240 = 2532519101409
BaseRepresentation
bin100001101011101…
…1011001101100000
32220202200211110200
41003113123031200
54303313323430
6304052225200
740002443151
oct10327331540
92822624420
101130214240
1152aa81761
1227660b200
131501cc32c
14aa165928
1569353460
hex435db360

1130214240 has 288 divisors, whose sum is σ = 4110069600. Its totient is φ = 282009600.

The previous prime is 1130214229. The next prime is 1130214257. The reversal of 1130214240 is 424120311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2763156 + ... + 2763564.

It is an arithmetic number, because the mean of its divisors is an integer number (14271075).

Almost surely, 21130214240 is an apocalyptic number.

1130214240 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 1130214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055034800).

1130214240 is an abundant number, since it is smaller than the sum of its proper divisors (2979855360).

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

1130214240 is a wasteful number, since it uses less digits than its factorization.

1130214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

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

The square root of 1130214240 is about 33618.6591047293. The cubic root of 1130214240 is about 1041.6462585726.

Adding to 1130214240 its reverse (424120311), we get a palindrome (1554334551).

The spelling of 1130214240 in words is "one billion, one hundred thirty million, two hundred fourteen thousand, two hundred forty".