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54115460 = 22573137337
BaseRepresentation
bin1100111001101…
…1110010000100
310202211100110022
43032123302010
5102323143320
65211514312
71224655010
oct316336204
9122740408
1054115460
1128601823
1216158998
13b2996a9
147289540
154b3e325
hex339bc84

54115460 has 96 divisors (see below), whose sum is σ = 138098688. Its totient is φ = 17418240.

The previous prime is 54115447. The next prime is 54115469. The reversal of 54115460 is 6451145.

54115460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×541154603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (54115469) 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 31 ways as a sum of consecutive naturals, for example, 160412 + ... + 160748.

It is an arithmetic number, because the mean of its divisors is an integer number (1438528).

Almost surely, 254115460 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 54115460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69049344).

54115460 is an abundant number, since it is smaller than the sum of its proper divisors (83983228).

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

54115460 is a wasteful number, since it uses less digits than its factorization.

54115460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 54115460 is about 7356.3210914152. The cubic root of 54115460 is about 378.2455129837.

The spelling of 54115460 in words is "fifty-four million, one hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 37 62 70 74 124 140 148 155 185 217 259 310 337 370 434 518 620 674 740 868 1036 1085 1147 1295 1348 1685 2170 2294 2359 2590 3370 4340 4588 4718 5180 5735 6740 8029 9436 10447 11470 11795 12469 16058 20894 22940 23590 24938 32116 40145 41788 47180 49876 52235 62345 73129 80290 87283 104470 124690 146258 160580 174566 208940 249380 292516 349132 365645 386539 436415 731290 773078 872830 1462580 1546156 1745660 1932695 2705773 3865390 5411546 7730780 10823092 13528865 27057730 54115460