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1130511440 = 24514131393
BaseRepresentation
bin100001101100010…
…0011110001010000
32220210020221011002
41003120203301100
54303402331230
6304102441132
740005121502
oct10330436120
92823227132
101130511440
11530164a83
122767331a8
131502a46a6
14aa201d72
15693b1545
hex43623c50

1130511440 has 20 divisors (see below), whose sum is σ = 2628439284. Its totient is φ = 452204544.

The previous prime is 1130511427. The next prime is 1130511443. The reversal of 1130511440 is 441150311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 533979664 + 596531776 = 23108^2 + 24424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11305114402 = 2556112231941747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130511443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7065617 + ... + 7065776.

Almost surely, 21130511440 is an apocalyptic number.

1130511440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130511440 is an abundant number, since it is smaller than the sum of its proper divisors (1497927844).

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

1130511440 is a wasteful number, since it uses less digits than its factorization.

1130511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131406 (or 14131400 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1130511440 is about 33623.0789785826. The cubic root of 1130511440 is about 1041.7375539883.

Adding to 1130511440 its reverse (441150311), we get a palindrome (1571661751).

The spelling of 1130511440 in words is "one billion, one hundred thirty million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14131393 28262786 56525572 70656965 113051144 141313930 226102288 282627860 565255720 1130511440