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1217050240 = 275721972
BaseRepresentation
bin100100010001010…
…1011011010000000
310010211002120001211
41020202223122000
54443031101430
6320433335504
742105520300
oct11042533200
93124076054
101217050240
11574aa194a
1229b707594
131651b4093
14b78cb600
1571ca772a
hex488ab680

1217050240 has 144 divisors (see below), whose sum is σ = 3401800470. Its totient is φ = 415156224.

The previous prime is 1217050217. The next prime is 1217050253. The reversal of 1217050240 is 420507121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1178411584 + 38638656 = 34328^2 + 6216^2 .

It is a super-2 number, since 2×12170502402 = 2962422573368115200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6177822 + ... + 6178018.

Almost surely, 21217050240 is an apocalyptic number.

1217050240 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 1217050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700900235).

1217050240 is an abundant number, since it is smaller than the sum of its proper divisors (2184750230).

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

1217050240 is an frugal number, since it uses more digits than its factorization.

1217050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 1217050240 is about 34886.2471469776. The cubic root of 1217050240 is about 1067.6678585809.

Adding to 1217050240 its reverse (420507121), we get a palindrome (1637557361).

The spelling of 1217050240 in words is "one billion, two hundred seventeen million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 197 224 245 280 320 392 394 448 490 560 640 784 788 896 980 985 1120 1379 1568 1576 1960 1970 2240 2758 3136 3152 3920 3940 4480 5516 6272 6304 6895 7840 7880 9653 11032 12608 13790 15680 15760 19306 22064 25216 27580 31360 31520 38612 38809 44128 48265 55160 63040 77224 77618 88256 96530 110320 126080 154448 155236 176512 193060 194045 220640 271663 308896 310472 386120 388090 441280 543326 617792 620944 772240 776180 882560 1086652 1235584 1241888 1358315 1544480 1552360 1901641 2173304 2483776 2716630 3088960 3104720 3803282 4346608 4967552 5433260 6177920 6209440 7606564 8693216 9508205 10866520 12418880 15213128 17386432 19016410 21733040 24837760 30426256 34772864 38032820 43466080 60852512 76065640 86932160 121705024 152131280 173864320 243410048 304262560 608525120 1217050240