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54105260 = 22511331743
BaseRepresentation
bin1100111001100…
…1010010101100
310202210211110112
43032121102230
5102322332020
65211355152
71224613166
oct316312254
9122724415
1054105260
11285a50a0
1216152ab8
13b294b61
147285936
154b3b2c5
hex33994ac

54105260 has 48 divisors (see below), whose sum is σ = 124492032. Its totient is φ = 19588800.

The previous prime is 54105257. The next prime is 54105277. The reversal of 54105260 is 6250145.

54105260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72449 + ... + 73191.

It is an arithmetic number, because the mean of its divisors is an integer number (2593584).

Almost surely, 254105260 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 54105260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62246016).

54105260 is an abundant number, since it is smaller than the sum of its proper divisors (70386772).

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

54105260 is a wasteful number, since it uses less digits than its factorization.

54105260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 54105260 is about 7355.6277774232. The cubic root of 54105260 is about 378.2217468446.

The spelling of 54105260 in words is "fifty-four million, one hundred five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 743 1324 1486 1655 2972 3310 3641 3715 6620 7282 7430 8173 14564 14860 16346 18205 32692 36410 40865 72820 81730 163460 245933 491866 983732 1229665 2459330 2705263 4918660 5410526 10821052 13526315 27052630 54105260