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130460850 = 232521329769
BaseRepresentation
bin1111100011010…
…10110010110010
3100002111002122100
413301222302302
5231344221400
620540121230
73142620222
oct761526262
9302432570
10130460850
1167707193
1237836216
132104a490
1413480082
15b6c0100
hex7c6acb2

130460850 has 144 divisors (see below), whose sum is σ = 390990600. Its totient is φ = 30965760.

The previous prime is 130460833. The next prime is 130460851. The reversal of 130460850 is 58064031.

130460850 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 608 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 21609 + 130439241 = 147^2 + 11421^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130460851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169266 + ... + 170034.

Almost surely, 2130460850 is an apocalyptic number.

130460850 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 130460850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195495300).

130460850 is an abundant number, since it is smaller than the sum of its proper divisors (260529750).

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

130460850 is a wasteful number, since it uses less digits than its factorization.

130460850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130460850 is about 11421.9459813116. The cubic root of 130460850 is about 507.1776042921.

The spelling of 130460850 in words is "one hundred thirty million, four hundred sixty thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 234 261 290 325 377 390 435 450 522 585 650 725 754 769 870 975 1131 1170 1305 1450 1538 1885 1950 2175 2262 2307 2610 2925 3393 3770 3845 4350 4614 5655 5850 6525 6786 6921 7690 9425 9997 11310 11535 13050 13842 16965 18850 19225 19994 22301 23070 28275 29991 33930 34605 38450 44602 49985 56550 57675 59982 66903 69210 84825 89973 99970 111505 115350 133806 149955 169650 173025 179946 200709 223010 249925 289913 299910 334515 346050 401418 449865 499850 557525 579826 669030 749775 869739 899730 1003545 1115050 1449565 1499550 1672575 1739478 2007090 2249325 2609217 2899130 3345150 4348695 4498650 5017725 5218434 7247825 8697390 10035450 13046085 14495650 21743475 26092170 43486950 65230425 130460850