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1133332056 = 2332471791871
BaseRepresentation
bin100001110001101…
…0100011001011000
32220222120020022100
41003203110121120
54310113111211
6304243123400
740041110043
oct10343243130
92828506270
101133332056
1153181116a
12277673560
13150a514ac
14aa737c5a
156976c156
hex438d4658

1133332056 has 96 divisors (see below), whose sum is σ = 3153945600. Its totient is φ = 367477440.

The previous prime is 1133332051. The next prime is 1133332087. The reversal of 1133332056 is 6502333311.

It is a happy number.

1133332056 is a `hidden beast` number, since 1 + 1 + 333 + 320 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133332051) 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 23 ways as a sum of consecutive naturals, for example, 604801 + ... + 606671.

It is an arithmetic number, because the mean of its divisors is an integer number (32853600).

Almost surely, 21133332056 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 1133332056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576972800).

1133332056 is an abundant number, since it is smaller than the sum of its proper divisors (2020613544).

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

1133332056 is a wasteful number, since it uses less digits than its factorization.

1133332056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1133332056 is about 33664.9974899747. The cubic root of 1133332056 is about 1042.6032097668.

Adding to 1133332056 its reverse (6502333311), we get a palindrome (7635665367).

The spelling of 1133332056 in words is "one billion, one hundred thirty-three million, three hundred thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 179 188 282 358 376 423 537 564 716 846 1074 1128 1432 1611 1692 1871 2148 3222 3384 3742 4296 5613 6444 7484 8413 11226 12888 14968 16826 16839 22452 25239 33652 33678 44904 50478 67304 67356 75717 87937 100956 134712 151434 175874 201912 263811 302868 334909 351748 527622 605736 669818 703496 791433 1004727 1055244 1339636 1582866 2009454 2110488 2679272 3014181 3165732 4018908 6028362 6331464 8037816 12056724 15740723 24113448 31481446 47222169 62962892 94444338 125925784 141666507 188888676 283333014 377777352 566666028 1133332056