Search a number
-
+
6830538760 = 2351923115259
BaseRepresentation
bin1100101110010000…
…11100000000001000
3122122000212022200001
412113020130000020
5102442104220020
63045442052344
7331160423113
oct62710340010
918560768601
106830538760
11299572a961
1213a764a0b4
1384b181c16
1448b24757a
1529e9e350a
hex19721c008

6830538760 has 96 divisors (see below), whose sum is σ = 16744492800. Its totient is φ = 2504753280.

The previous prime is 6830538731. The next prime is 6830538769. The reversal of 6830538760 is 678350386.

It is a self number, because there is not a number n which added to its sum of digits gives 6830538760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830538769) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 440011 + ... + 455269.

It is an arithmetic number, because the mean of its divisors is an integer number (174421800).

Almost surely, 26830538760 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 6830538760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372246400).

6830538760 is an abundant number, since it is smaller than the sum of its proper divisors (9913954040).

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

6830538760 is a wasteful number, since it uses less digits than its factorization.

6830538760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15339 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 6830538760 is about 82647.0735114075. The cubic root of 6830538760 is about 1897.3683566583.

The spelling of 6830538760 in words is "six billion, eight hundred thirty million, five hundred thirty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 361 380 589 620 722 760 1178 1240 1444 1805 2356 2888 2945 3610 4712 5890 7220 11191 11780 14440 15259 22382 23560 30518 44764 55955 61036 76295 89528 111910 122072 152590 223820 289921 305180 447640 473029 579842 610360 946058 1159684 1449605 1892116 2319368 2365145 2899210 3784232 4730290 5508499 5798420 8987551 9460580 11016998 11596840 17975102 18921160 22033996 27542495 35950204 44067992 44937755 55084990 71900408 89875510 110169980 170763469 179751020 220339960 341526938 359502040 683053876 853817345 1366107752 1707634690 3415269380 6830538760