Search a number
-
+
130939830 = 232571910939
BaseRepresentation
bin1111100110111…
…11101110110110
3100010101102200100
413303133232312
5232010033310
620554254530
73146653530
oct763375666
9303342610
10130939830
1167a0403a
1237a27446
13211874b8
1413566850
15b766ec0
hex7cdfbb6

130939830 has 96 divisors (see below), whose sum is σ = 409593600. Its totient is φ = 28351296.

The previous prime is 130939829. The next prime is 130939873. The reversal of 130939830 is 38939031.

It is a congruent 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, 6501 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (4266600).

Almost surely, 2130939830 is an apocalyptic number.

130939830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130939830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204796800).

130939830 is an abundant number, since it is smaller than the sum of its proper divisors (278653770).

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

130939830 is a wasteful number, since it uses less digits than its factorization.

130939830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10978 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 130939830 is about 11442.8943017053. The cubic root of 130939830 is about 507.7975379986.

It can be divided in two parts, 130939 and 830, that added together give a square (131769 = 3632).

The spelling of 130939830 in words is "one hundred thirty million, nine hundred thirty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 10939 11970 21878 32817 54695 65634 76573 98451 109390 153146 164085 196902 207841 229719 328170 382865 415682 459438 492255 623523 689157 765730 984510 1039205 1148595 1247046 1378314 1454887 1870569 2078410 2297190 2909774 3117615 3445785 3741138 4364661 6235230 6891570 7274435 8729322 9352845 13093983 14548870 18705690 21823305 26187966 43646610 65469915 130939830