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54360064 = 2111119127
BaseRepresentation
bin1100111101011…
…1100000000000
310210021202222201
43033113200000
5102404010224
65221042544
71230024103
oct317274000
9123252881
1054360064
1128759580
1216256454
13b353b25
14731073a
154b8ba44
hex33d7800

54360064 has 96 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 23224320.

The previous prime is 54360049. The next prime is 54360077. The reversal of 54360064 is 46006345.

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 7 ways as a sum of consecutive naturals, for example, 427969 + ... + 428095.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 254360064 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 54360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

54360064 is an abundant number, since it is smaller than the sum of its proper divisors (71438336).

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

54360064 is a wasteful number, since it uses less digits than its factorization.

54360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 54360064 is about 7372.9277766705. The cubic root of 54360064 is about 378.8145513318.

The spelling of 54360064 in words is "fifty-four million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 127 128 152 176 209 254 256 304 352 418 508 512 608 704 836 1016 1024 1216 1397 1408 1672 2032 2048 2413 2432 2794 2816 3344 4064 4826 4864 5588 5632 6688 8128 9652 9728 11176 11264 13376 16256 19304 19456 22352 22528 26543 26752 32512 38608 38912 44704 53086 53504 65024 77216 89408 106172 107008 130048 154432 178816 212344 214016 260096 308864 357632 424688 428032 617728 715264 849376 1235456 1430528 1698752 2470912 2861056 3397504 4941824 6795008 13590016 27180032 54360064