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1035533140 = 2252347211227
BaseRepresentation
bin111101101110001…
…111101101010100
32200011112112102021
4331232033231110
54110044030030
6250431022524
734442613025
oct7556175524
92604475367
101035533140
11491593414
1224a96aa44
131366cb805
149b75ac4c
1560d9e97a
hex3db8fb54

1035533140 has 96 divisors (see below), whose sum is σ = 2338689024. Its totient is φ = 384236160.

The previous prime is 1035533129. The next prime is 1035533141. The reversal of 1035533140 is 413355301.

It is a super-3 number, since 3×10355331403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035533141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4561707 + ... + 4561933.

It is an arithmetic number, because the mean of its divisors is an integer number (24361344).

Almost surely, 21035533140 is an apocalyptic number.

1035533140 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 1035533140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169344512).

1035533140 is an abundant number, since it is smaller than the sum of its proper divisors (1303155884).

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

1035533140 is a wasteful number, since it uses less digits than its factorization.

1035533140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1035533140 is about 32179.7007444134. The cubic root of 1035533140 is about 1011.7067961227.

Adding to 1035533140 its reverse (413355301), we get a palindrome (1448888441).

The spelling of 1035533140 in words is "one billion, thirty-five million, five hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 211 227 230 235 422 454 460 470 844 908 940 1055 1081 1135 2110 2162 2270 4220 4324 4540 4853 5221 5405 9706 9917 10442 10669 10810 19412 19834 20884 21338 21620 24265 26105 39668 42676 47897 48530 49585 52210 53345 95794 97060 99170 104420 106690 191588 198340 213380 228091 239485 245387 456182 478970 490774 912364 957940 981548 1101631 1140455 1226935 2203262 2251159 2280910 2453870 4406524 4502318 4561820 4907740 5508155 9004636 11016310 11255795 22032620 22511590 45023180 51776657 103553314 207106628 258883285 517766570 1035533140