Search a number
-
+
68320784 = 2471075701
BaseRepresentation
bin1000001001001…
…11111000010000
311202120001111102
410010213320100
5114442231114
610440203532
71456500650
oct404477020
9152501442
1068320784
1135624464
121aa695a8
13112013cc
149106360
155ee82de
hex4127e10

68320784 has 40 divisors (see below), whose sum is σ = 152722368. Its totient is φ = 29001600.

The previous prime is 68320783. The next prime is 68320831. The reversal of 68320784 is 48702386.

It is not an unprimeable number, because it can be changed into a prime (68320783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9134 + ... + 14834.

Almost surely, 268320784 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 68320784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76361184).

68320784 is an abundant number, since it is smaller than the sum of its proper divisors (84401584).

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

68320784 is a wasteful number, since it uses less digits than its factorization.

68320784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 68320784 is about 8265.6387532967. The cubic root of 68320784 is about 408.8063318323.

The spelling of 68320784 in words is "sixty-eight million, three hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2996 5701 5992 11402 11984 22804 39907 45608 79814 91216 159628 319256 610007 638512 1220014 2440028 4270049 4880056 8540098 9760112 17080196 34160392 68320784