Search a number
-
+
66054384 = 243211217223
BaseRepresentation
bin1111101111111…
…0100011110000
311121021220120200
43323332203300
5113402220014
610315435200
71431311244
oct373764360
9147256520
1066054384
1134316700
121a155b00
13108b9946
148ab6424
155beba09
hex3efe8f0

66054384 has 180 divisors, whose sum is σ = 216111168. Its totient is φ = 18754560.

The previous prime is 66054379. The next prime is 66054437. The reversal of 66054384 is 48345066.

66054384 is a `hidden beast` number, since 6 + 605 + 43 + 8 + 4 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296097 + ... + 296319.

Almost surely, 266054384 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 66054384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

66054384 is an abundant number, since it is smaller than the sum of its proper divisors (150056784).

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

66054384 is a wasteful number, since it uses less digits than its factorization.

66054384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 66054384 is about 8127.3848192392. The cubic root of 66054384 is about 404.2349709809.

The spelling of 66054384 in words is "sixty-six million, fifty-four thousand, three hundred eighty-four".