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54012240 = 2432575017
BaseRepresentation
bin1100111000001…
…0100101010000
310202122002212100
43032002211100
5102311342430
65205400400
71224045042
oct316024520
9122562770
1054012240
1128541217
1216109100
13b261709
14725da92
154b1d960
hex3382950

54012240 has 60 divisors (see below), whose sum is σ = 181393524. Its totient is φ = 14403072.

The previous prime is 54012229. The next prime is 54012289. The reversal of 54012240 is 4221045.

54012240 is a `hidden beast` number, since 540 + 122 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 38044224 = 3996^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36789 + ... + 38228.

Almost surely, 254012240 is an apocalyptic number.

It is an amenable number.

54012240 is an abundant number, since it is smaller than the sum of its proper divisors (127381284).

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

54012240 is a wasteful number, since it uses less digits than its factorization.

54012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75036 (or 75027 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54012240 is about 7349.3020076739. The cubic root of 54012240 is about 378.0048710215.

Adding to 54012240 its reverse (4221045), we get a palindrome (58233285).

The spelling of 54012240 in words is "fifty-four million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 75017 150034 225051 300068 375085 450102 600136 675153 750170 900204 1125255 1200272 1350306 1500340 1800408 2250510 2700612 3000680 3375765 3600816 4501020 5401224 6001360 6751530 9002040 10802448 13503060 18004080 27006120 54012240