Search a number
-
+
54054060 = 22351635527
BaseRepresentation
bin1100111000110…
…0110010101100
310202201020020020
43032030302230
5102314212220
65210322140
71224311004
oct316146254
9122636206
1054054060
112856a685
1216129350
13b277768
147271004
154b2b040
hex338ccac

54054060 has 48 divisors (see below), whose sum is σ = 152307456. Its totient is φ = 14323392.

The previous prime is 54054047. The next prime is 54054079. The reversal of 54054060 is 6045045.

54054060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54054060.

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, 7017 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (3173072).

Almost surely, 254054060 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 54054060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76153728).

54054060 is an abundant number, since it is smaller than the sum of its proper divisors (98253396).

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

54054060 is a wasteful number, since it uses less digits than its factorization.

54054060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 54054060 is about 7352.1466253061. The cubic root of 54054060 is about 378.1024049973.

The spelling of 54054060 in words is "fifty-four million, fifty-four thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 5527 9780 11054 16581 22108 27635 33162 55270 66324 82905 110540 165810 331620 900901 1801802 2702703 3603604 4504505 5405406 9009010 10810812 13513515 18018020 27027030 54054060