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1133302086 = 2327283113137
BaseRepresentation
bin100001110001100…
…1101000101000110
32220222111201012100
41003203031011012
54310111131321
6304242332530
740040623500
oct10343150506
92828451170
101133302086
115317a06a4
1227765a146
13150a40967
14aa72ad70
1569763326
hex438cd146

1133302086 has 144 divisors (see below), whose sum is σ = 2937667824. Its totient is φ = 314754048.

The previous prime is 1133302081. The next prime is 1133302087. The reversal of 1133302086 is 6802033311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133302081) 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 71 ways as a sum of consecutive naturals, for example, 8272210 + ... + 8272346.

It is an arithmetic number, because the mean of its divisors is an integer number (20400471).

Almost surely, 21133302086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133302086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468833912).

1133302086 is an abundant number, since it is smaller than the sum of its proper divisors (1804365738).

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

1133302086 is a wasteful number, since it uses less digits than its factorization.

1133302086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1133302086 is about 33664.5523659531. The cubic root of 1133302086 is about 1042.5940194348.

Adding to 1133302086 its reverse (6802033311), we get a palindrome (7935335397).

The spelling of 1133302086 in words is "one billion, one hundred thirty-three million, three hundred two thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 83 98 113 126 137 147 166 226 249 274 294 339 411 441 498 581 678 747 791 822 882 959 1017 1162 1233 1494 1582 1743 1918 2034 2373 2466 2877 3486 4067 4746 5229 5537 5754 6713 7119 8134 8631 9379 10458 11074 11371 12201 13426 14238 15481 16611 17262 18758 20139 22742 24402 28137 30962 33222 34113 36603 40278 46443 49833 56274 60417 65653 68226 73206 79597 84411 92886 99666 102339 108367 120834 131306 139329 159194 168822 196959 204678 216734 238791 278658 325101 393918 459571 477582 557179 590877 650202 716373 758569 919142 975303 1114358 1181754 1284923 1378713 1432746 1517138 1671537 1950606 2275707 2569846 2757426 3343074 3854769 4136139 4551414 5014611 6827121 7709538 8272278 8994461 10029222 11564307 13654242 17988922 23128614 26983383 53966766 62961227 80950149 125922454 161900298 188883681 377767362 566651043 1133302086