Search a number
-
+
68124576 = 2531331719
BaseRepresentation
bin1000000111101…
…11111110100000
311202012002100110
410003313332200
5114414441301
610432051320
71455022632
oct403677640
9152162313
1068124576
1135500003
121a993b40
1311163000
149094a52
155eaa0d6
hex40f7fa0

68124576 has 192 divisors, whose sum is σ = 215913600. Its totient is φ = 18690048.

The previous prime is 68124569. The next prime is 68124587. The reversal of 68124576 is 67542186.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3585495 + ... + 3585513.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 268124576 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 68124576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

68124576 is an abundant number, since it is smaller than the sum of its proper divisors (147789024).

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

68124576 is a wasteful number, since it uses less digits than its factorization.

68124576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 68124576 is about 8253.7613243902. The cubic root of 68124576 is about 408.4146112075.

The spelling of 68124576 in words is "sixty-eight million, one hundred twenty-four thousand, five hundred seventy-six".