Search a number
-
+
54040400 = 2452135101
BaseRepresentation
bin1100111000100…
…1011101010000
310202200112111022
43032021131100
5102313243100
65210135012
71224223121
oct316113520
9122615438
1054040400
1128560397
1216121468
13b27148b
14726a048
154b26e85
hex3389750

54040400 has 30 divisors (see below), whose sum is σ = 129833022. Its totient is φ = 21616000.

The previous prime is 54040397. The next prime is 54040411. The reversal of 54040400 is 404045.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 53640976 = 632^2 + 7324^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67151 + ... + 67950.

Almost surely, 254040400 is an apocalyptic number.

54040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54040400 is an abundant number, since it is smaller than the sum of its proper divisors (75792622).

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

54040400 is a wasteful number, since it uses less digits than its factorization.

54040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135119 (or 135108 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 54040400 is about 7351.2175862234. The cubic root of 54040400 is about 378.0705522313.

Adding to 54040400 its reverse (404045), we get a palindrome (54444445).

The spelling of 54040400 in words is "fifty-four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 135101 270202 540404 675505 1080808 1351010 2161616 2702020 3377525 5404040 6755050 10808080 13510100 27020200 54040400