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1130523416 = 2311231134943
BaseRepresentation
bin100001101100010…
…0110101100011000
32220210021112120122
41003120212230120
54303403222131
6304103012412
740005201431
oct10330465430
92823245518
101130523416
11530172a80
1227673a108
131502a9c89
14aa206488
15693b4d7b
hex43626b18

1130523416 has 64 divisors (see below), whose sum is σ = 2434821120. Its totient is φ = 487083520.

The previous prime is 1130523413. The next prime is 1130523451. The reversal of 1130523416 is 6143250311.

It is a super-4 number, since 4×11305234164 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130523413) by changing a digit.

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, 226241 + ... + 231183.

It is an arithmetic number, because the mean of its divisors is an integer number (38044080).

Almost surely, 21130523416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130523416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217410560).

1130523416 is an abundant number, since it is smaller than the sum of its proper divisors (1304297704).

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

1130523416 is a wasteful number, since it uses less digits than its factorization.

1130523416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1130523416 is about 33623.2570700698. The cubic root of 1130523416 is about 1041.7412325019.

Adding to 1130523416 its reverse (6143250311), we get a palindrome (7273773727).

The spelling of 1130523416 in words is "one billion, one hundred thirty million, five hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 113 184 226 253 452 506 904 1012 1243 2024 2486 2599 4943 4972 5198 9886 9944 10396 19772 20792 28589 39544 54373 57178 108746 113689 114356 217492 227378 228712 434984 454756 558559 909512 1117118 1250579 2234236 2501158 4468472 5002316 6144149 10004632 12288298 12846857 24576596 25693714 49153192 51387428 102774856 141315427 282630854 565261708 1130523416