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54087306 = 23713235973
BaseRepresentation
bin1100111001010…
…0111010001010
310202202220211120
43032110322022
5102321243211
65211140110
71224506640
oct316247212
9122686746
1054087306
1128592659
1216144636
13b289930
14727d190
154b35d06
hex3394e8a

54087306 has 128 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 13229568.

The previous prime is 54087301. The next prime is 54087307. The reversal of 54087306 is 60378045.

54087306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54087301) 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 63 ways as a sum of consecutive naturals, for example, 740886 + ... + 740958.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 254087306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54087306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

54087306 is an abundant number, since it is smaller than the sum of its proper divisors (89129334).

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

54087306 is a wasteful number, since it uses less digits than its factorization.

54087306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54087306 is about 7354.4072500780. The cubic root of 54087306 is about 378.1799065226.

The spelling of 54087306 in words is "fifty-four million, eighty-seven thousand, three hundred six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 59 69 73 78 91 118 138 146 161 177 182 219 273 299 322 354 413 438 483 511 546 598 767 826 897 949 966 1022 1239 1357 1533 1534 1679 1794 1898 2093 2301 2478 2714 2847 3066 3358 4071 4186 4307 4602 5037 5369 5694 6279 6643 8142 8614 9499 10074 10738 11753 12558 12921 13286 16107 17641 18998 19929 21827 23506 25842 28497 30149 32214 35259 35282 39858 43654 52923 55991 56994 60298 65481 70518 90447 99061 105846 111982 123487 130962 152789 167973 180894 198122 246974 297183 305578 335946 370461 391937 458367 594366 693427 740922 783874 916734 1175811 1287793 1386854 2080281 2351622 2575586 3863379 4160562 7726758 9014551 18029102 27043653 54087306