Search a number
-
+
6730360 = 235713432
BaseRepresentation
bin11001101011001001111000
3110122221022121
4121223021320
53210332420
6400131024
7111131020
oct31531170
913587277
106730360
11388768a
122306a74
131518580
14c72a80
158ce2aa
hex66b278

6730360 has 96 divisors (see below), whose sum is σ = 19081440. Its totient is φ = 2080512.

The previous prime is 6730357. The next prime is 6730369. The reversal of 6730360 is 630376.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156499 + ... + 156541.

It is an arithmetic number, because the mean of its divisors is an integer number (198765).

Almost surely, 26730360 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 6730360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9540720).

6730360 is an abundant number, since it is smaller than the sum of its proper divisors (12351080).

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

6730360 is a wasteful number, since it uses less digits than its factorization.

6730360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 6730360 is about 2594.2937381877. The cubic root of 6730360 is about 188.8046842417.

The spelling of 6730360 in words is "six million, seven hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 43 52 56 65 70 86 91 104 130 140 172 182 215 260 280 301 344 364 430 455 520 559 602 728 860 910 1118 1204 1505 1720 1820 1849 2236 2408 2795 3010 3640 3698 3913 4472 5590 6020 7396 7826 9245 11180 12040 12943 14792 15652 18490 19565 22360 24037 25886 31304 36980 39130 48074 51772 64715 73960 78260 96148 103544 120185 129430 156520 168259 192296 240370 258860 336518 480740 517720 673036 841295 961480 1346072 1682590 3365180 6730360