Search a number
-
+
67286016 = 2103272149
BaseRepresentation
bin1000000001010…
…11010000000000
311200121111001200
410000223100000
5114211123031
610402101200
71444631100
oct400532000
9150544050
1067286016
1134a87a86
121a64a800
1310c2b415
148d17200
155d918e6
hex402b400

67286016 has 198 divisors, whose sum is σ = 227524050. Its totient is φ = 19095552.

The previous prime is 67285993. The next prime is 67286029. The reversal of 67286016 is 61068276.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 22127616 = 6720^2 + 4704^2 .

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451510 + ... + 451658.

Almost surely, 267286016 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 67286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762025).

67286016 is an abundant number, since it is smaller than the sum of its proper divisors (160238034).

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

67286016 is a wasteful number, since it uses less digits than its factorization.

67286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 67286016 is about 8202.8053737730. The cubic root of 67286016 is about 406.7319337450.

The spelling of 67286016 in words is "sixty-seven million, two hundred eighty-six thousand, sixteen".