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10530220240 = 24517411271487
BaseRepresentation
bin10011100111010011…
…00110100011010000
31000011212110121120001
421303221212203100
5133031214021430
64500523055344
7521643252361
oct116351464320
930155417501
1010530220240
114514042361
12205a671554
13cba7c3867
1471c743b68
154196e53ca
hex273a668d0

10530220240 has 160 divisors (see below), whose sum is σ = 26782285824. Its totient is φ = 3834593280.

The previous prime is 10530220153. The next prime is 10530220241. The reversal of 10530220240 is 4202203501.

It is a super-2 number, since 2×105302202402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530220241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7080777 + ... + 7082263.

Almost surely, 210530220240 is an apocalyptic number.

10530220240 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 10530220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391142912).

10530220240 is an abundant number, since it is smaller than the sum of its proper divisors (16252065584).

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

10530220240 is a wasteful number, since it uses less digits than its factorization.

10530220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 10530220240 its reverse (4202203501), we get a palindrome (14732423741).

The spelling of 10530220240 in words is "ten billion, five hundred thirty million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 127 136 164 170 205 254 272 328 340 410 508 635 656 680 697 820 1016 1270 1360 1394 1487 1640 2032 2159 2540 2788 2974 3280 3485 4318 5080 5207 5576 5948 6970 7435 8636 10160 10414 10795 11152 11896 13940 14870 17272 20828 21590 23792 25279 26035 27880 29740 34544 41656 43180 50558 52070 55760 59480 60967 83312 86360 88519 101116 104140 118960 121934 126395 172720 177038 188849 202232 208280 243868 252790 304835 354076 377698 404464 416560 442595 487736 505580 609670 708152 755396 885190 944245 975472 1011160 1036439 1219340 1416304 1510792 1770380 1888490 2022320 2072878 2438680 3021584 3210433 3540760 3776980 4145756 4877360 5182195 6420866 7081520 7553960 7742809 8291512 10364390 12841732 15107920 15485618 16052165 16583024 20728780 25683464 30971236 32104330 38714045 41457560 51366928 61942472 64208660 77428090 82915120 123884944 128417320 131627753 154856180 256834640 263255506 309712360 526511012 619424720 658138765 1053022024 1316277530 2106044048 2632555060 5265110120 10530220240