Search a number
-
+
54070200 = 233352171931
BaseRepresentation
bin1100111001000…
…0101110111000
310202202001101000
43032100232320
5102320221300
65210525000
71224406032
oct316205670
9122661330
1054070200
1128580818
1216136760
13b281c02
147276c52
154b30c00
hex3390bb8

54070200 has 384 divisors, whose sum is σ = 214272000. Its totient is φ = 12441600.

The previous prime is 54070199. The next prime is 54070223. The reversal of 54070200 is 207045.

It is a happy number.

54070200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1744185 + ... + 1744215.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 254070200 is an apocalyptic number.

54070200 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 54070200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

54070200 is an abundant number, since it is smaller than the sum of its proper divisors (160201800).

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

54070200 is a wasteful number, since it uses less digits than its factorization.

54070200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 54070200 is about 7353.2441819921. The cubic root of 54070200 is about 378.1400337806.

Adding to 54070200 its reverse (207045), we get a palindrome (54277245).

The spelling of 54070200 in words is "fifty-four million, seventy thousand, two hundred".