Search a number
-
+
130366060 = 225114197149
BaseRepresentation
bin1111100010100…
…11101001101100
3100002022021121121
413301103221230
5231333203220
620534110324
73142043656
oct761235154
9302267547
10130366060
1167651a50
12377ab3a4
13210162a6
14134576d6
15b6a1eaa
hex7c53a6c

130366060 has 96 divisors (see below), whose sum is σ = 311169600. Its totient is φ = 45465600.

The previous prime is 130366057. The next prime is 130366073. The reversal of 130366060 is 60663031.

130366060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874866 + ... + 875014.

It is an arithmetic number, because the mean of its divisors is an integer number (3241350).

Almost surely, 2130366060 is an apocalyptic number.

130366060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130366060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155584800).

130366060 is an abundant number, since it is smaller than the sum of its proper divisors (180803540).

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

130366060 is a wasteful number, since it uses less digits than its factorization.

130366060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 130366060 is about 11417.7957592523. The cubic root of 130366060 is about 507.0547398126.

The spelling of 130366060 in words is "one hundred thirty million, three hundred sixty-six thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 97 110 149 164 194 205 220 298 388 410 451 485 596 745 820 902 970 1067 1490 1639 1804 1940 2134 2255 2980 3278 3977 4268 4510 5335 6109 6556 7954 8195 9020 10670 12218 14453 15908 16390 19885 21340 24436 28906 30545 32780 39770 43747 57812 61090 67199 72265 79540 87494 122180 134398 144530 158983 174988 218735 268796 289060 317966 335995 437470 592573 635932 671990 794915 874940 1185146 1343980 1589830 2370292 2962865 3179660 5925730 6518303 11851460 13036606 26073212 32591515 65183030 130366060