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1123523540 = 2251789107347
BaseRepresentation
bin100001011110111…
…1001101111010100
32220022002220112222
41002331321233110
54300110223130
6303253001512
736561535556
oct10275715724
92808086488
101123523540
11527221957
12274323298
1314b9c8b39
14a93034d6
1568980ce5
hex42f79bd4

1123523540 has 96 divisors (see below), whose sum is σ = 2557215360. Its totient is φ = 413118464.

The previous prime is 1123523519. The next prime is 1123523581. The reversal of 1123523540 is 453253211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3237647 + ... + 3237993.

It is an arithmetic number, because the mean of its divisors is an integer number (26637660).

Almost surely, 21123523540 is an apocalyptic number.

1123523540 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 1123523540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278607680).

1123523540 is an abundant number, since it is smaller than the sum of its proper divisors (1433691820).

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

1123523540 is a wasteful number, since it uses less digits than its factorization.

1123523540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1123523540 is about 33519.0026701273. The cubic root of 1123523540 is about 1039.5867255880.

Adding to 1123523540 its reverse (453253211), we get a palindrome (1576776751).

The spelling of 1123523540 in words is "one billion, one hundred twenty-three million, five hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 107 170 178 214 340 347 356 428 445 535 694 890 1070 1388 1513 1735 1780 1819 2140 3026 3470 3638 5899 6052 6940 7276 7565 9095 9523 11798 15130 18190 19046 23596 29495 30260 30883 36380 37129 38092 47615 58990 61766 74258 95230 117980 123532 148516 154415 161891 185645 190460 308830 323782 371290 525011 617660 631193 647564 742580 809455 1050022 1262386 1618910 2100044 2524772 2625055 3155965 3237820 3304481 5250110 6311930 6608962 10500220 12623860 13217924 16522405 33044810 56176177 66089620 112352354 224704708 280880885 561761770 1123523540