Search a number
-
+
54534240 = 2532537871
BaseRepresentation
bin1101000000001…
…0000001100000
310210121121220200
43100002001200
5102430043430
65224505200
71231350645
oct320020140
9123547820
1054534240
1128868422
121631b200
13b3b51a7
147357dcc
154bc3460
hex3402060

54534240 has 72 divisors (see below), whose sum is σ = 186103008. Its totient is φ = 14542080.

The previous prime is 54534229. The next prime is 54534247. The reversal of 54534240 is 4243545.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54534247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17496 + ... + 20375.

It is an arithmetic number, because the mean of its divisors is an integer number (2584764).

Almost surely, 254534240 is an apocalyptic number.

It is an amenable number.

54534240 is an abundant number, since it is smaller than the sum of its proper divisors (131568768).

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

54534240 is a wasteful number, since it uses less digits than its factorization.

54534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37892 (or 37881 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 54534240 is about 7384.7301914153. The cubic root of 54534240 is about 379.2187086855.

Adding to 54534240 its reverse (4243545), we get a palindrome (58777785).

The spelling of 54534240 in words is "fifty-four million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 37871 75742 113613 151484 189355 227226 302968 340839 378710 454452 568065 605936 681678 757420 908904 1136130 1211872 1363356 1514840 1704195 1817808 2272260 2726712 3029680 3408390 3635616 4544520 5453424 6059360 6816780 9089040 10906848 13633560 18178080 27267120 54534240