Search a number
-
+
545668200 = 23325271131127
BaseRepresentation
bin100000100001100…
…011110001101000
31102000202211001100
4200201203301220
52104142340300
6130051321400
716344050250
oct4041436150
91360684040
10545668200
11260019660
121328b0260
13890848bc
1452682960
1532d89700
hex20863c68

545668200 has 576 divisors, whose sum is σ = 2376990720. Its totient is φ = 108864000.

The previous prime is 545668199. The next prime is 545668213. The reversal of 545668200 is 2866545.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4296537 + ... + 4296663.

It is an arithmetic number, because the mean of its divisors is an integer number (4126720).

Almost surely, 2545668200 is an apocalyptic number.

545668200 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 545668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188495360).

545668200 is an abundant number, since it is smaller than the sum of its proper divisors (1831322520).

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

545668200 is a wasteful number, since it uses less digits than its factorization.

545668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 545668200 is about 23359.5419475640. The cubic root of 545668200 is about 817.1646072491.

The spelling of 545668200 in words is "five hundred forty-five million, six hundred sixty-eight thousand, two hundred".