Search a number
-
+
861389130 = 235721930841
BaseRepresentation
bin110011010101111…
…100000101001010
32020000212002202010
4303111330011022
53231003423010
6221250320350
730226454400
oct6325740512
92200762663
10861389130
11402260448
122005890b6
131095c8214
1482589470
1550951620
hex3357c14a

861389130 has 96 divisors (see below), whose sum is σ = 2531511360. Its totient is φ = 186520320.

The previous prime is 861389101. The next prime is 861389147. The reversal of 861389130 is 31983168.

861389130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12510 + ... + 43350.

It is an arithmetic number, because the mean of its divisors is an integer number (26369910).

Almost surely, 2861389130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861389130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265755680).

861389130 is an abundant number, since it is smaller than the sum of its proper divisors (1670122230).

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

861389130 is a wasteful number, since it uses less digits than its factorization.

861389130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30884 (or 30877 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 861389130 is about 29349.4315106784. The cubic root of 861389130 is about 951.4802887093.

The spelling of 861389130 in words is "eight hundred sixty-one million, three hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 13965 27930 30841 61682 92523 154205 185046 215887 308410 431774 462615 585979 647661 925230 1079435 1171958 1295322 1511209 1757937 2158870 2929895 3022418 3238305 3515874 4101853 4533627 5859790 6476610 7556045 8203706 8789685 9067254 12305559 15112090 17579370 20509265 22668135 24611118 28712971 41018530 45336270 57425942 61527795 86138913 123055590 143564855 172277826 287129710 430694565 861389130