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54054240 = 2535195927
BaseRepresentation
bin1100111000110…
…0110101100000
310202201020110220
43032030311200
5102314213430
65210323040
71224311352
oct316146540
9122636426
1054054240
112856a829
1216129480
13b277876
1472710d2
154b2b110
hex338cd60

54054240 has 96 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 13653504.

The previous prime is 54054233. The next prime is 54054251. The reversal of 54054240 is 4245045.

It is a tau number, because it is divible by the number of its divisors (96).

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 54054240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6157 + ... + 12083.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 254054240 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 54054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

54054240 is an abundant number, since it is smaller than the sum of its proper divisors (125208480).

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

54054240 is a wasteful number, since it uses less digits than its factorization.

54054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 54054240 is about 7352.1588666187. The cubic root of 54054240 is about 378.1028246905.

Adding to 54054240 its reverse (4245045), we get a palindrome (58299285).

The spelling of 54054240 in words is "fifty-four million, fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 5927 9120 11854 17781 23708 29635 35562 47416 59270 71124 88905 94832 112613 118540 142248 177810 189664 225226 237080 284496 337839 355620 450452 474160 563065 568992 675678 711240 900904 948320 1126130 1351356 1422480 1689195 1801808 2252260 2702712 2844960 3378390 3603616 4504520 5405424 6756780 9009040 10810848 13513560 18018080 27027120 54054240