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54131300 = 22521075059
BaseRepresentation
bin1100111001111…
…1101001100100
310202212011011222
43032133221210
5102324200200
65212115512
71225052126
oct316375144
9122764158
1054131300
1128612713
1216165b98
13b2a3972
147291216
154b43d85
hex339fa64

54131300 has 36 divisors (see below), whose sum is σ = 118586160. Its totient is φ = 21445920.

The previous prime is 54131293. The next prime is 54131309. The reversal of 54131300 is 313145.

It is not an unprimeable number, because it can be changed into a prime (54131309) 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, 8171 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (3294060).

Almost surely, 254131300 is an apocalyptic number.

54131300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59293080).

54131300 is an abundant number, since it is smaller than the sum of its proper divisors (64454860).

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

54131300 is a wasteful number, since it uses less digits than its factorization.

54131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 54131300 is about 7357.3976377521. The cubic root of 54131300 is about 378.2824144807.

Adding to 54131300 its reverse (313145), we get a palindrome (54444445).

The spelling of 54131300 in words is "fifty-four million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5059 5350 10118 10700 20236 25295 50590 101180 126475 252950 505900 541313 1082626 2165252 2706565 5413130 10826260 13532825 27065650 54131300