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1312304560 = 245723139733
BaseRepresentation
bin100111000111000…
…0010110110110000
310101110022222102121
41032032002312300
510141422221220
6334115124024
744343255550
oct11616026660
93343288377
101312304560
11613841926
123075a3614
1317bb55798
14c6405160
157a320eaa
hex4e382db0

1312304560 has 160 divisors (see below), whose sum is σ = 3669765120. Its totient is φ = 426691584.

The previous prime is 1312304503. The next prime is 1312304569. The reversal of 1312304560 is 654032131.

It is not an unprimeable number, because it can be changed into a prime (1312304569) 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, 1789954 + ... + 1790686.

It is an arithmetic number, because the mean of its divisors is an integer number (22936032).

Almost surely, 21312304560 is an apocalyptic number.

1312304560 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 1312304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834882560).

1312304560 is an abundant number, since it is smaller than the sum of its proper divisors (2357460560).

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

1312304560 is a wasteful number, since it uses less digits than its factorization.

1312304560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1312304560 is about 36225.7444367952. The cubic root of 1312304560 is about 1094.8254373079.

Adding to 1312304560 its reverse (654032131), we get a palindrome (1966336691).

The spelling of 1312304560 in words is "one billion, three hundred twelve million, three hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 139 140 161 184 230 278 280 322 368 460 556 560 644 695 733 805 920 973 1112 1288 1390 1466 1610 1840 1946 2224 2576 2780 2932 3197 3220 3665 3892 4865 5131 5560 5864 6394 6440 7330 7784 9730 10262 11120 11728 12788 12880 14660 15568 15985 16859 19460 20524 22379 25576 25655 29320 31970 33718 38920 41048 44758 51152 51310 58640 63940 67436 77840 82096 84295 89516 101887 102620 111895 118013 127880 134872 168590 179032 203774 205240 223790 236026 255760 269744 337180 358064 407548 410480 447580 472052 509435 590065 674360 713209 815096 895160 944104 1018870 1180130 1348720 1426418 1630192 1790320 1888208 2037740 2343401 2360260 2852836 3566045 4075480 4686802 4720520 5705672 7132090 8150960 9373604 9441040 11411344 11717005 14264180 16403807 18747208 23434010 28528360 32807614 37494416 46868020 57056720 65615228 82019035 93736040 131230456 164038070 187472080 262460912 328076140 656152280 1312304560