Search a number
-
+
545840064 = 263271131397
BaseRepresentation
bin100000100010001…
…101101111000000
31102001002112210200
4200202031233000
52104213340224
6130055125200
716345364310
oct4042155700
91361075720
10545840064
112601267a0
12132973800
1389114bb3
14526c9440
1532dc05c9
hex2088dbc0

545840064 has 336 divisors, whose sum is σ = 2018605056. Its totient is φ = 136857600.

The previous prime is 545840023. The next prime is 545840077. The reversal of 545840064 is 460048545.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1374714 + ... + 1375110.

Almost surely, 2545840064 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 545840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009302528).

545840064 is an abundant number, since it is smaller than the sum of its proper divisors (1472764992).

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

545840064 is a wasteful number, since it uses less digits than its factorization.

545840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 545840064 is about 23363.2203259739. The cubic root of 545840064 is about 817.2503898035.

The spelling of 545840064 in words is "five hundred forty-five million, eight hundred forty thousand, sixty-four".