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51078060 = 22335118599
BaseRepresentation
bin1100001011011…
…0001110101100
310120010000221000
43002312032230
5101033444220
65022440300
71160104425
oct302661654
9116100830
1051078060
1126917780
1215133090
13a775007
146ad864c
15473e390
hex30b63ac

51078060 has 96 divisors (see below), whose sum is σ = 173376000. Its totient is φ = 12381120.

The previous prime is 51078059. The next prime is 51078067. The reversal of 51078060 is 6087015.

51078060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51078067) by changing a digit.

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, 1641 + ... + 10239.

It is an arithmetic number, because the mean of its divisors is an integer number (1806000).

Almost surely, 251078060 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 51078060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86688000).

51078060 is an abundant number, since it is smaller than the sum of its proper divisors (122297940).

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

51078060 is a wasteful number, since it uses less digits than its factorization.

51078060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51078060 is about 7146.8916320314. The cubic root of 51078060 is about 371.0320831107.

The spelling of 51078060 in words is "fifty-one million, seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 8599 17198 25797 34396 42995 51594 77391 85990 94589 103188 128985 154782 171980 189178 232173 257970 283767 309564 378356 386955 464346 472945 515940 567534 773910 851301 928692 945890 1135068 1160865 1418835 1547820 1702602 1891780 2321730 2553903 2837670 3405204 4256505 4643460 5107806 5675340 8513010 10215612 12769515 17026020 25539030 51078060