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1130303540 = 225198213623
BaseRepresentation
bin100001101011111…
…0001000000110100
32220202212100222002
41003113301000310
54303324203130
6304054154432
740003264412
oct10327610064
92822770862
101130303540
11530032863
12276652a18
13150230b82
14aa18a2b2
156936eb45
hex435f1034

1130303540 has 48 divisors (see below), whose sum is σ = 2502299520. Its totient is φ = 427685760.

The previous prime is 1130303527. The next prime is 1130303569. The reversal of 1130303540 is 453030311.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 310169 + ... + 313791.

It is an arithmetic number, because the mean of its divisors is an integer number (52131240).

Almost surely, 21130303540 is an apocalyptic number.

1130303540 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 1130303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251149760).

1130303540 is an abundant number, since it is smaller than the sum of its proper divisors (1371995980).

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

1130303540 is a wasteful number, since it uses less digits than its factorization.

1130303540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1130303540 is about 33619.9872099916. The cubic root of 1130303540 is about 1041.6736918851.

Adding to 1130303540 its reverse (453030311), we get a palindrome (1583333851).

The spelling of 1130303540 in words is "one billion, one hundred thirty million, three hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 821 1642 3284 3623 4105 7246 8210 14492 15599 16420 18115 31198 36230 62396 68837 72460 77995 137674 155990 275348 311980 344185 688370 1376740 2974483 5948966 11897932 14872415 29744830 56515177 59489660 113030354 226060708 282575885 565151770 1130303540