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1243440520 = 2357172391093
BaseRepresentation
bin100101000011101…
…0110010110001000
310012122202022201121
41022013112112020
510021310044040
6323215125024
742546033010
oct11207262610
93178668647
101243440520
115889872a3
122a8513774
1316a7c402a
14bb1dac40
157426bc4a
hex4a1d6588

1243440520 has 128 divisors (see below), whose sum is σ = 3402777600. Its totient is φ = 399200256.

The previous prime is 1243440509. The next prime is 1243440553. The reversal of 1243440520 is 250443421.

It is a happy number.

It is a super-2 number, since 2×12434405202 = 3092288653555740800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1137094 + ... + 1138186.

It is an arithmetic number, because the mean of its divisors is an integer number (26584200).

Almost surely, 21243440520 is an apocalyptic number.

1243440520 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 1243440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701388800).

1243440520 is an abundant number, since it is smaller than the sum of its proper divisors (2159337080).

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

1243440520 is a wasteful number, since it uses less digits than its factorization.

1243440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1243440520 is about 35262.4519850790. The cubic root of 1243440520 is about 1075.3297765962.

Adding to 1243440520 its reverse (250443421), we get a palindrome (1493883941).

The spelling of 1243440520 in words is "one billion, two hundred forty-three million, four hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 239 280 340 476 478 595 680 952 956 1093 1190 1195 1673 1912 2186 2380 2390 3346 4063 4372 4760 4780 5465 6692 7651 8126 8365 8744 9560 10930 13384 15302 16252 16730 18581 20315 21860 28441 30604 32504 33460 37162 38255 40630 43720 56882 61208 66920 74324 76510 81260 92905 113764 130067 142205 148648 153020 162520 185810 227528 260134 261227 284410 306040 371620 520268 522454 568820 650335 743240 1040536 1044908 1137640 1300670 1306135 1828589 2089816 2601340 2612270 3657178 4440859 5202680 5224540 7314356 8881718 9142945 10449080 14628712 17763436 18285890 22204295 31086013 35526872 36571780 44408590 62172026 73143560 88817180 124344052 155430065 177634360 248688104 310860130 621720260 1243440520