Search a number
-
+
6913296 = 2433131231
BaseRepresentation
bin11010010111110100010000
3111000020021000
4122113310100
53232211141
6404102000
7112522245
oct32276420
914006230
106913296
1139a2075
122394900
131580910
14cbd5cc
159185b6
hex697d10

6913296 has 80 divisors (see below), whose sum is σ = 21387520. Its totient is φ = 2125440.

The previous prime is 6913273. The next prime is 6913301. The reversal of 6913296 is 6923196.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6913296.

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 15 ways as a sum of consecutive naturals, for example, 5001 + ... + 6231.

It is an arithmetic number, because the mean of its divisors is an integer number (267344).

Almost surely, 26913296 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 6913296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693760).

6913296 is an abundant number, since it is smaller than the sum of its proper divisors (14474224).

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

6913296 is a wasteful number, since it uses less digits than its factorization.

6913296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 6913296 is about 2629.3147396232. The cubic root of 6913296 is about 190.5000310001.

The spelling of 6913296 in words is "six million, nine hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1231 1404 1872 2462 2808 3693 4924 5616 7386 9848 11079 14772 16003 19696 22158 29544 32006 33237 44316 48009 59088 64012 66474 88632 96018 128024 132948 144027 177264 192036 256048 265896 288054 384072 432081 531792 576108 768144 864162 1152216 1728324 2304432 3456648 6913296