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5306870640 = 243559894211
BaseRepresentation
bin1001111000101000…
…00110101101110000
3111200211210221221110
410330110012231300
541332024330030
62234332353320
7245336441031
oct47424065560
914624727843
105306870640
112283654505
121041315840
136675c3a56
14384b42a88
15210d711b0
hex13c506b70

5306870640 has 160 divisors (see below), whose sum is σ = 16922131200. Its totient is φ = 1375221760.

The previous prime is 5306870623. The next prime is 5306870651. The reversal of 5306870640 is 460786035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258135 + ... + 1262345.

It is an arithmetic number, because the mean of its divisors is an integer number (105763320).

Almost surely, 25306870640 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 5306870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461065600).

5306870640 is an abundant number, since it is smaller than the sum of its proper divisors (11615260560).

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

5306870640 is a wasteful number, since it uses less digits than its factorization.

5306870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5306870640 is about 72848.2713590378. The cubic root of 5306870640 is about 1744.2664754980.

The spelling of 5306870640 in words is "five billion, three hundred six million, eight hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 89 118 120 177 178 236 240 267 295 354 356 445 472 534 590 708 712 885 890 944 1068 1180 1335 1416 1424 1770 1780 2136 2360 2670 2832 3540 3560 4211 4272 4720 5251 5340 7080 7120 8422 10502 10680 12633 14160 15753 16844 21004 21055 21360 25266 26255 31506 33688 42008 42110 50532 52510 63012 63165 67376 78765 84016 84220 101064 105020 126024 126330 157530 168440 202128 210040 248449 252048 252660 315060 336880 374779 420080 496898 505320 630120 745347 749558 993796 1010640 1124337 1242245 1260240 1490694 1499116 1873895 1987592 2248674 2484490 2981388 2998232 3726735 3747790 3975184 4497348 4968980 5621685 5962776 5996464 7453470 7495580 8994696 9937960 11243370 11925552 14906940 14991160 17989392 19875920 22111961 22486740 29813880 29982320 44223922 44973480 59627760 66335883 88447844 89946960 110559805 132671766 176895688 221119610 265343532 331679415 353791376 442239220 530687064 663358830 884478440 1061374128 1326717660 1768956880 2653435320 5306870640