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1123503540 = 2235235315361
BaseRepresentation
bin100001011110111…
…0100110110110100
32220022001220010020
41002331310312310
54300104103130
6303252325140
736561423345
oct10275646664
92808056106
101123503540
11527208925
122743137b0
1314b9bc9c3
14a92da0cc
1568979e10
hex42f74db4

1123503540 has 96 divisors (see below), whose sum is σ = 3344737536. Its totient is φ = 281149440.

The previous prime is 1123503533. The next prime is 1123503569. The reversal of 1123503540 is 453053211.

It is a self number, because there is not a number n which added to its sum of digits gives 1123503540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65460 + ... + 80820.

It is an arithmetic number, because the mean of its divisors is an integer number (34841016).

Almost surely, 21123503540 is an apocalyptic number.

1123503540 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 1123503540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672368768).

1123503540 is an abundant number, since it is smaller than the sum of its proper divisors (2221233996).

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

1123503540 is a wasteful number, since it uses less digits than its factorization.

1123503540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15449 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1123503540 is about 33518.7043305674. The cubic root of 1123503540 is about 1039.5805569417.

Adding to 1123503540 its reverse (453053211), we get a palindrome (1576556751).

The spelling of 1123503540 in words is "one billion, one hundred twenty-three million, five hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 212 230 265 276 318 345 460 530 636 690 795 1060 1219 1380 1590 2438 3180 3657 4876 6095 7314 12190 14628 15361 18285 24380 30722 36570 46083 61444 73140 76805 92166 153610 184332 230415 307220 353303 460830 706606 814133 921660 1059909 1413212 1628266 1766515 2119818 2442399 3256532 3533030 4070665 4239636 4884798 5299545 7066060 8141330 9769596 10599090 12211995 16282660 18725059 21198180 24423990 37450118 48847980 56175177 74900236 93625295 112350354 187250590 224700708 280875885 374501180 561751770 1123503540