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5140614160 = 2451119535801
BaseRepresentation
bin1001100100110011…
…11000110000010000
3111021020222020221001
410302121320300100
541011444123120
62210033111344
7241250333203
oct46231706020
914236866831
105140614160
1121a8819560
12bb56b8554
1363c022636
1436aa2593a
1520147ee0a
hex132678c10

5140614160 has 160 divisors (see below), whose sum is σ = 13986069120. Its totient is φ = 1737216000.

The previous prime is 5140614137. The next prime is 5140614187. The reversal of 5140614160 is 614160415.

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, 883260 + ... + 889060.

It is an arithmetic number, because the mean of its divisors is an integer number (87412932).

Almost surely, 25140614160 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 5140614160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993034560).

5140614160 is an abundant number, since it is smaller than the sum of its proper divisors (8845454960).

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

5140614160 is a wasteful number, since it uses less digits than its factorization.

5140614160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 5140614160 is about 71698.0764037641. The cubic root of 5140614160 is about 1725.8577723718.

Adding to 5140614160 its reverse (614160415), we get a palindrome (5754774575).

The spelling of 5140614160 in words is "five billion, one hundred forty million, six hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 53 55 76 80 88 95 106 110 152 176 190 209 212 220 265 304 380 418 424 440 530 583 760 836 848 880 1007 1045 1060 1166 1520 1672 2014 2090 2120 2332 2915 3344 4028 4180 4240 4664 5035 5801 5830 8056 8360 9328 10070 11077 11602 11660 16112 16720 20140 22154 23204 23320 29005 40280 44308 46408 46640 55385 58010 63811 80560 88616 92816 110219 110770 116020 127622 177232 220438 221540 232040 255244 307453 319055 440876 443080 464080 510488 551095 614906 638110 881752 886160 1020976 1102190 1212409 1229812 1276220 1537265 1763504 2204380 2424818 2459624 2552440 3074530 3381983 4408760 4849636 4919248 5104880 5841607 6062045 6149060 6763966 8817520 9699272 11683214 12124090 12298120 13527932 16909915 19398544 23366428 24248180 24596240 27055864 29208035 33819830 46732856 48496360 54111728 58416070 64257677 67639660 93465712 96992720 116832140 128515354 135279320 233664280 257030708 270558640 321288385 467328560 514061416 642576770 1028122832 1285153540 2570307080 5140614160