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53663360 = 275191439
BaseRepresentation
bin1100110010110…
…1011010000000
310201222101021212
43030231122000
5102214211420
65154105252
71221062642
oct314553200
9121871255
1053663360
1128323093
1215b7b228
13b16b98a
1471ac892
154aa03c5
hex332d680

53663360 has 64 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 21304320.

The previous prime is 53663359. The next prime is 53663377. The reversal of 53663360 is 6336635.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 122021 + ... + 122459.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 253663360 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 53663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

53663360 is an abundant number, since it is smaller than the sum of its proper divisors (75591040).

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

53663360 is a wasteful number, since it uses less digits than its factorization.

53663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 32.

The square root of 53663360 is about 7325.5279673209. The cubic root of 53663360 is about 377.1892330045.

Adding to 53663360 its reverse (6336635), we get a palindrome (59999995).

The spelling of 53663360 in words is "fifty-three million, six hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 320 382 439 640 764 878 955 1528 1756 1910 2195 3056 3512 3820 4390 6112 7024 7640 8780 12224 14048 15280 17560 24448 28096 30560 35120 56192 61120 70240 83849 122240 140480 167698 280960 335396 419245 670792 838490 1341584 1676980 2683168 3353960 5366336 6707920 10732672 13415840 26831680 53663360