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51320160 = 25325157227
BaseRepresentation
bin1100001111000…
…1010101100000
310120120100000200
43003301111200
5101114221120
65031545200
71162133313
oct303612540
9116510020
1051320160
1126a72661
121522b200
13a82b278
146b5c97a
15478ae90
hex30f1560

51320160 has 144 divisors (see below), whose sum is σ = 177021936. Its totient is φ = 13538304.

The previous prime is 51320141. The next prime is 51320173. The reversal of 51320160 is 6102315.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225967 + ... + 226193.

It is an arithmetic number, because the mean of its divisors is an integer number (1229319).

Almost surely, 251320160 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 51320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88510968).

51320160 is an abundant number, since it is smaller than the sum of its proper divisors (125701776).

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

51320160 is a wasteful number, since it uses less digits than its factorization.

51320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51320160 is about 7163.8090426811. The cubic root of 51320160 is about 371.6173658412.

Adding to 51320160 its reverse (6102315), we get a palindrome (57422475).

The spelling of 51320160 in words is "fifty-one million, three hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 157 160 180 227 240 288 314 360 454 471 480 628 681 720 785 908 942 1135 1256 1362 1413 1440 1570 1816 1884 2043 2270 2355 2512 2724 2826 3140 3405 3632 3768 4086 4540 4710 5024 5448 5652 6280 6810 7065 7264 7536 8172 9080 9420 10215 10896 11304 12560 13620 14130 15072 16344 18160 18840 20430 21792 22608 25120 27240 28260 32688 35639 36320 37680 40860 45216 54480 56520 65376 71278 75360 81720 106917 108960 113040 142556 163440 178195 213834 226080 285112 320751 326880 356390 427668 534585 570224 641502 712780 855336 1069170 1140448 1283004 1425560 1603755 1710672 2138340 2566008 2851120 3207510 3421344 4276680 5132016 5702240 6415020 8553360 10264032 12830040 17106720 25660080 51320160