Search a number
-
+
544461060 = 22351113233189
BaseRepresentation
bin100000011100111…
…101000100000100
31101221111111011110
4200130331010010
52103340223220
6130005405020
716330562013
oct4034750404
91357444143
10544461060
1125a374720
12132409770
1388a51310
145244aa7a
1532bebbe0
hex2073d104

544461060 has 384 divisors, whose sum is σ = 1950842880. Its totient is φ = 111513600.

The previous prime is 544461059. The next prime is 544461067. The reversal of 544461060 is 60164445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (544461067) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6117496 + ... + 6117584.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2544461060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544461060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975421440).

544461060 is an abundant number, since it is smaller than the sum of its proper divisors (1406381820).

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

544461060 is a wasteful number, since it uses less digits than its factorization.

544461060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 544461060 is about 23333.6893782359. The cubic root of 544461060 is about 816.5615787775.

The spelling of 544461060 in words is "five hundred forty-four million, four hundred sixty-one thousand, sixty".