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5830681760 = 2551712716879
BaseRepresentation
bin1010110111000100…
…10010010010100000
3120001100110022201022
411123202102102200
543420123304020
62402323425012
7264326656121
oct53342222240
916040408638
105830681760
1125222a4562
121168825168
1371bc94b67
143d4536048
15241d3e625
hex15b8924a0

5830681760 has 96 divisors (see below), whose sum is σ = 14700994560. Its totient is φ = 2177667072.

The previous prime is 5830681757. The next prime is 5830681817. The reversal of 5830681760 is 671860385.

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 15 ways as a sum of consecutive naturals, for example, 337001 + ... + 353879.

It is an arithmetic number, because the mean of its divisors is an integer number (153135360).

Almost surely, 25830681760 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 5830681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350497280).

5830681760 is an abundant number, since it is smaller than the sum of its proper divisors (8870312800).

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

5830681760 is a wasteful number, since it uses less digits than its factorization.

5830681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17038 (or 17030 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 5830681760 is about 76358.9009873767. The cubic root of 5830681760 is about 1799.8643683811.

The spelling of 5830681760 in words is "five billion, eight hundred thirty million, six hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 127 136 160 170 254 272 340 508 544 635 680 1016 1270 1360 2032 2159 2540 2720 4064 4318 5080 8636 10160 10795 16879 17272 20320 21590 33758 34544 43180 67516 69088 84395 86360 135032 168790 172720 270064 286943 337580 345440 540128 573886 675160 1147772 1350320 1434715 2143633 2295544 2700640 2869430 4287266 4591088 5738860 8574532 9182176 10718165 11477720 17149064 21436330 22955440 34298128 36441761 42872660 45910880 68596256 72883522 85745320 145767044 171490640 182208805 291534088 342981280 364417610 583068176 728835220 1166136352 1457670440 2915340880 5830681760