[go: up one dir, main page]

Search a number
-
+
6713928 = 233413797
BaseRepresentation
bin11001100111001001001000
3110122002210000
4121213021020
53204321203
6355523000
7111032064
oct31471110
913562700
106713928
113876301
1222b9460
131510c50
14c6aaa4
158c94a3
hex667248

6713928 has 80 divisors (see below), whose sum is σ = 20277180. Its totient is φ = 2063232.

The previous prime is 6713923. The next prime is 6713947. The reversal of 6713928 is 8293176.

It can be written as a sum of positive squares in 2 ways, for example, as 6441444 + 272484 = 2538^2 + 522^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6713892 and 6713901.

It is not an unprimeable number, because it can be changed into a prime (6713921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8026 + ... + 8822.

Almost surely, 26713928 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 6713928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10138590).

6713928 is an abundant number, since it is smaller than the sum of its proper divisors (13563252).

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

6713928 is a wasteful number, since it uses less digits than its factorization.

6713928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6713928 is about 2591.1248522601. The cubic root of 6713928 is about 188.6509051054.

The spelling of 6713928 in words is "six million, seven hundred thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 797 936 1053 1404 1594 2106 2391 2808 3188 4212 4782 6376 7173 8424 9564 10361 14346 19128 20722 21519 28692 31083 41444 43038 57384 62166 64557 82888 86076 93249 124332 129114 172152 186498 248664 258228 279747 372996 516456 559494 745992 839241 1118988 1678482 2237976 3356964 6713928