Search a number
-
+
830330780 = 2251961113317
BaseRepresentation
bin110001011111011…
…101011110011100
32010212102011200212
4301133131132130
53200031041110
6214220511552
726401460306
oct6137353634
92125364625
10830330780
11396777894
121b20ab5b8
131030425b6
147c3c2976
154cd68e05
hex317dd79c

830330780 has 96 divisors (see below), whose sum is σ = 1888004160. Its totient is φ = 305786880.

The previous prime is 830330749. The next prime is 830330783. The reversal of 830330780 is 87033038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830330783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2619182 + ... + 2619498.

It is an arithmetic number, because the mean of its divisors is an integer number (19666710).

Almost surely, 2830330780 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 830330780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944002080).

830330780 is an abundant number, since it is smaller than the sum of its proper divisors (1057673380).

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

830330780 is a wasteful number, since it uses less digits than its factorization.

830330780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 830330780 is about 28815.4607806296. The cubic root of 830330780 is about 939.9044644117.

The spelling of 830330780 in words is "eight hundred thirty million, three hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 113 122 190 226 244 305 317 380 452 565 610 634 1130 1159 1220 1268 1585 2147 2260 2318 3170 4294 4636 5795 6023 6340 6893 8588 10735 11590 12046 13786 19337 21470 23180 24092 27572 30115 34465 35821 38674 42940 60230 68930 71642 77348 96685 120460 130967 137860 143284 179105 193370 261934 358210 367403 386740 523868 654835 680599 716420 734806 1309670 1361198 1469612 1837015 2185081 2619340 2722396 3402995 3674030 4370162 6805990 7348060 8740324 10925405 13611980 21850810 41516539 43701620 83033078 166066156 207582695 415165390 830330780