Search a number
-
+
54057040 = 245675713
BaseRepresentation
bin1100111000110…
…1100001010000
310202201101022121
43032031201100
5102314311130
65210344024
71224322462
oct316154120
9122641277
1054057040
1128571944
121612b014
13b278c1b
147272132
154b2bd7a
hex338d850

54057040 has 20 divisors (see below), whose sum is σ = 125682804. Its totient is φ = 21622784.

The previous prime is 54057001. The next prime is 54057043. The reversal of 54057040 is 4075045.

It can be written as a sum of positive squares in 2 ways, for example, as 12222016 + 41835024 = 3496^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 54056996 and 54057014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54057043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 337777 + ... + 337936.

Almost surely, 254057040 is an apocalyptic number.

It is an amenable number.

54057040 is an abundant number, since it is smaller than the sum of its proper divisors (71625764).

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

54057040 is a wasteful number, since it uses less digits than its factorization.

54057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675726 (or 675720 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 54057040 is about 7352.3492844124. The cubic root of 54057040 is about 378.1093531307.

The spelling of 54057040 in words is "fifty-four million, fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 675713 1351426 2702852 3378565 5405704 6757130 10811408 13514260 27028520 54057040