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1126985288 = 23112132832
BaseRepresentation
bin100001100101100…
…0110111001001000
32220112121210011212
41003023012321020
54302002012123
6303455112252
736633134252
oct10313067110
92815553155
101126985288
11529176800
12275512688
1314c63b700
14a9964cd2
1568e16878
hex432c6e48

1126985288 has 108 divisors (see below), whose sum is σ = 2545737705. Its totient is φ = 467163840.

The previous prime is 1126985287. The next prime is 1126985291. The reversal of 1126985288 is 8825896211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 963605764 + 163379524 = 31042^2 + 12782^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23738.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1126985281) 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 26 ways as a sum of consecutive naturals, for example, 13578095 + ... + 13578177.

Almost surely, 21126985288 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 1126985288

1126985288 is an abundant number, since it is smaller than the sum of its proper divisors (1418752417).

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

1126985288 is a wasteful number, since it uses less digits than its factorization.

1126985288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 109 counting only the distinct ones).

The product of its digits is 552960, while the sum is 50.

The square root of 1126985288 is about 33570.6015436125. The cubic root of 1126985288 is about 1040.6533394790.

Multiplying 1126985288 by its sum of digits (50), we get a square (56349264400 = 2373802).

The spelling of 1126985288 in words is "one billion, one hundred twenty-six million, nine hundred eighty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 83 88 104 121 143 166 169 242 286 332 338 484 572 664 676 913 968 1079 1144 1352 1573 1826 1859 2158 3146 3652 3718 4316 6292 6889 7304 7436 8632 10043 11869 12584 13778 14027 14872 20086 20449 23738 27556 28054 40172 40898 47476 55112 56108 75779 80344 81796 89557 94952 112216 130559 151558 154297 163592 179114 261118 303116 308594 358228 522236 606232 617188 716456 833569 985127 1044472 1164241 1234376 1667138 1697267 1970254 2328482 3334276 3394534 3940508 4656964 6668552 6789068 7881016 9313928 10836397 12806651 13578136 21672794 25613302 43345588 51226604 86691176 102453208 140873161 281746322 563492644 1126985288