Search a number
-
+
6741072 = 2432132277
BaseRepresentation
bin11001101101110001010000
3110200111000100
4121231301100
53211203242
6400252400
7111204162
oct31556120
913614010
106741072
113894738
122311100
131520400
14c76932
158d254c
hex66dc50

6741072 has 90 divisors (see below), whose sum is σ = 20502222. Its totient is φ = 2066688.

The previous prime is 6741037. The next prime is 6741089. The reversal of 6741072 is 2701476.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 6533136 = 456^2 + 2556^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 24198 + ... + 24474.

Almost surely, 26741072 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 6741072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251111).

6741072 is an abundant number, since it is smaller than the sum of its proper divisors (13761150).

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

6741072 is a wasteful number, since it uses less digits than its factorization.

6741072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 6741072 is about 2596.3574484265. The cubic root of 6741072 is about 188.9047979424.

The spelling of 6741072 in words is "six million, seven hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 277 312 338 468 507 554 624 676 831 936 1014 1108 1352 1521 1662 1872 2028 2216 2493 2704 3042 3324 3601 4056 4432 4986 6084 6648 7202 8112 9972 10803 12168 13296 14404 19944 21606 24336 28808 32409 39888 43212 46813 57616 64818 86424 93626 129636 140439 172848 187252 259272 280878 374504 421317 518544 561756 749008 842634 1123512 1685268 2247024 3370536 6741072