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5560415080 = 23511174118131
BaseRepresentation
bin1010010110110110…
…10011001101101000
3112100111220100112021
411023123103031220
542341431240310
62315430554224
7254535514453
oct51333231550
915314810467
105560415080
1123a3789170
1210b2208974
136a7ca784c
143aa6a249a
152282555da
hex14b6d3368

5560415080 has 128 divisors (see below), whose sum is σ = 14804415360. Its totient is φ = 1856512000.

The previous prime is 5560415059. The next prime is 5560415083. The reversal of 5560415080 is 805140655.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5560415083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 297615 + ... + 315745.

It is an arithmetic number, because the mean of its divisors is an integer number (115659495).

Almost surely, 25560415080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5560415080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402207680).

5560415080 is an abundant number, since it is smaller than the sum of its proper divisors (9244000280).

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

5560415080 is a wasteful number, since it uses less digits than its factorization.

5560415080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211 (or 18207 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 5560415080 is about 74568.1908054634. The cubic root of 5560415080 is about 1771.6138663388.

The spelling of 5560415080 in words is "five billion, five hundred sixty million, four hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 41 44 55 68 82 85 88 110 136 164 170 187 205 220 328 340 374 410 440 451 680 697 748 820 902 935 1394 1496 1640 1804 1870 2255 2788 3485 3608 3740 4510 5576 6970 7480 7667 9020 13940 15334 18040 18131 27880 30668 36262 38335 61336 72524 76670 90655 145048 153340 181310 199441 306680 308227 362620 398882 616454 725240 743371 797764 997205 1232908 1486742 1541135 1595528 1994410 2465816 2973484 3082270 3390497 3716855 3988820 5946968 6164540 6780994 7433710 7977640 8177081 12329080 12637307 13561988 14867420 16354162 16952485 25274614 27123976 29734840 32708324 33904970 40885405 50549228 63186535 65416648 67809940 81770810 101098456 126373070 135619880 139010377 163541620 252746140 278020754 327083240 505492280 556041508 695051885 1112083016 1390103770 2780207540 5560415080