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54341160 = 23353712239
BaseRepresentation
bin1100111101001…
…0111000101000
310210020211001120
43033102320220
5102402404120
65220415240
71226615016
oct317227050
9123224046
1054341160
1128746355
1216247520
13b348343
1473078b6
154b86140
hex33d2e28

54341160 has 64 divisors (see below), whose sum is σ = 167443200. Its totient is φ = 14098176.

The previous prime is 54341143. The next prime is 54341201. The reversal of 54341160 is 6114345.

54341160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54341160.

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, 1680 + ... + 10559.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 254341160 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 54341160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).

54341160 is an abundant number, since it is smaller than the sum of its proper divisors (113102040).

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

54341160 is a wasteful number, since it uses less digits than its factorization.

54341160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54341160 is about 7371.6456778660. The cubic root of 54341160 is about 378.7706346522.

The spelling of 54341160 in words is "fifty-four million, three hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 12239 24478 36717 48956 61195 73434 97912 122390 146868 183585 244780 293736 367170 452843 489560 734340 905686 1358529 1468680 1811372 2264215 2717058 3622744 4528430 5434116 6792645 9056860 10868232 13585290 18113720 27170580 54341160