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54305640 = 2335537151
BaseRepresentation
bin1100111100101…
…0001101101000
310210012000100000
43033022031220
5102400240030
65215543000
71226406324
oct317121550
9123160300
1054305640
11287216a4
121622aa60
13b33511c
1472d8984
154b7a860
hex33ca368

54305640 has 192 divisors, whose sum is σ = 189221760. Its totient is φ = 13996800.

The previous prime is 54305623. The next prime is 54305659. The reversal of 54305640 is 4650345.

54305640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 359565 + ... + 359715.

It is an arithmetic number, because the mean of its divisors is an integer number (985530).

Almost surely, 254305640 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 54305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94610880).

54305640 is an abundant number, since it is smaller than the sum of its proper divisors (134916120).

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

54305640 is a wasteful number, since it uses less digits than its factorization.

54305640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 54305640 is about 7369.2360526719. The cubic root of 54305640 is about 378.6880890865.

Adding to 54305640 its reverse (4650345), we get a palindrome (58955985).

It can be divided in two parts, 54305 and 640, that added together give a palindrome (54945).

The spelling of 54305640 in words is "fifty-four million, three hundred five thousand, six hundred forty".