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54213760 = 2752329127
BaseRepresentation
bin1100111011001…
…1110010000000
310210000100022001
43032303302000
5102334320020
65213553344
71225544416
oct316636200
9123010261
1054213760
1128669667
12161a5854
13b302363
1472b32b6
154b5d50a
hex33b3c80

54213760 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 19869696.

The previous prime is 54213739. The next prime is 54213773. The reversal of 54213760 is 6731245.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426817 + ... + 426943.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 254213760 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 54213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

54213760 is an abundant number, since it is smaller than the sum of its proper divisors (86791040).

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

54213760 is a wasteful number, since it uses less digits than its factorization.

54213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 54213760 is about 7362.9993888360. Note that the first 3 decimals coincide. The cubic root of 54213760 is about 378.4744003995.

The spelling of 54213760 in words is "fifty-four million, two hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 127 128 145 160 184 230 232 254 290 320 368 460 464 508 580 635 640 667 736 920 928 1016 1160 1270 1334 1472 1840 1856 2032 2320 2540 2668 2921 2944 3335 3680 3683 3712 4064 4640 5080 5336 5842 6670 7360 7366 8128 9280 10160 10672 11684 13340 14605 14720 14732 16256 18415 18560 20320 21344 23368 26680 29210 29464 36830 40640 42688 46736 53360 58420 58928 73660 81280 84709 85376 93472 106720 116840 117856 147320 169418 186944 213440 233680 235712 294640 338836 373888 423545 426880 467360 471424 589280 677672 847090 934720 1178560 1355344 1694180 1869440 2357120 2710688 3388360 5421376 6776720 10842752 13553440 27106880 54213760