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54019240 = 23511211161
BaseRepresentation
bin1100111000010…
…0010010101000
310202122110110121
43032010102220
5102312103430
65205453024
71224104332
oct316042250
9122573417
1054019240
1128546500
1216111174
13b264962
147262452
154b20a7a
hex33844a8

54019240 has 48 divisors (see below), whose sum is σ = 133609140. Its totient is φ = 19641600.

The previous prime is 54019213. The next prime is 54019241. The reversal of 54019240 is 4291045.

It can be written as a sum of positive squares in 2 ways, for example, as 46212804 + 7806436 = 6798^2 + 2794^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54019241) 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, 741 + ... + 10420.

Almost surely, 254019240 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 54019240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66804570).

54019240 is an abundant number, since it is smaller than the sum of its proper divisors (79589900).

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

54019240 is a wasteful number, since it uses less digits than its factorization.

54019240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11194 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 54019240 is about 7349.7782279467. The cubic root of 54019240 is about 378.0212001584.

It can be divided in two parts, 5401 and 9240, that added together give a palindrome (14641).

The spelling of 54019240 in words is "fifty-four million, nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 11161 22322 44644 55805 89288 111610 122771 223220 245542 446440 491084 613855 982168 1227710 1350481 2455420 2700962 4910840 5401924 6752405 10803848 13504810 27009620 54019240