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1020335550 = 2352133116879
BaseRepresentation
bin111100110100010…
…001010110111110
32122002221102020120
4330310101112332
54042201214200
6245125155410
734166465133
oct7464212676
92562842216
101020335550
11483a53223
1224585bb66
1313350a260
149972258a
155e89b9a0
hex3cd115be

1020335550 has 96 divisors (see below), whose sum is σ = 2813153280. Its totient is φ = 243043200.

The previous prime is 1020335513. The next prime is 1020335611. The reversal of 1020335550 is 555330201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020335550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52011 + ... + 68889.

It is an arithmetic number, because the mean of its divisors is an integer number (29303680).

Almost surely, 21020335550 is an apocalyptic number.

1020335550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020335550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406576640).

1020335550 is an abundant number, since it is smaller than the sum of its proper divisors (1792817730).

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

1020335550 is a wasteful number, since it uses less digits than its factorization.

1020335550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 1020335550 is about 31942.6916523952. The cubic root of 1020335550 is about 1006.7330805464.

Adding to 1020335550 its reverse (555330201), we get a palindrome (1575665751).

It can be divided in two parts, 10203 and 35550, that added together give a triangular number (45753 = T302).

The spelling of 1020335550 in words is "one billion, twenty million, three hundred thirty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 130 150 155 186 195 310 325 390 403 465 650 775 806 930 975 1209 1550 1950 2015 2325 2418 4030 4650 6045 10075 12090 16879 20150 30225 33758 50637 60450 84395 101274 168790 219427 253185 421975 438854 506370 523249 658281 843950 1046498 1097135 1265925 1316562 1569747 2194270 2531850 2616245 3139494 3291405 5232490 5485675 6582810 6802237 7848735 10971350 13081225 13604474 15697470 16457025 20406711 26162450 32914050 34011185 39243675 40813422 68022370 78487350 102033555 170055925 204067110 340111850 510167775 1020335550