Search a number
-
+
54001300 = 22523071759
BaseRepresentation
bin1100110111111…
…1111010010100
310202121112212011
43031333322110
5102311020200
65205234004
71224001123
oct315777224
9122545764
1054001300
1128533a81
1216102904
13b259742
147259aba
154b1a5ba
hex337fe94

54001300 has 36 divisors (see below), whose sum is σ = 117631360. Its totient is φ = 21517920.

The previous prime is 54001273. The next prime is 54001301. The reversal of 54001300 is 310045.

It is a super-2 number, since 2×540013002 = 5832280803380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29821 + ... + 31579.

Almost surely, 254001300 is an apocalyptic number.

54001300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54001300 is an abundant number, since it is smaller than the sum of its proper divisors (63630060).

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

54001300 is a wasteful number, since it uses less digits than its factorization.

54001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 54001300 is about 7348.5576816134. The cubic root of 54001300 is about 377.9793480874.

Adding to 54001300 its reverse (310045), we get a palindrome (54311345).

The spelling of 54001300 in words is "fifty-four million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 307 614 1228 1535 1759 3070 3518 6140 7036 7675 8795 15350 17590 30700 35180 43975 87950 175900 540013 1080026 2160052 2700065 5400130 10800260 13500325 27000650 54001300