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130082500 = 225461853
BaseRepresentation
bin1111100000011…
…10011011000100
3100001202212122101
413300032123010
5231300120000
620524041444
73136453162
oct760163304
9301685571
10130082500
11674789a9
1237693284
1320c471c2
14133c2232
15b647e6a
hex7c0e6c4

130082500 has 60 divisors (see below), whose sum is σ = 289466716. Its totient is φ = 51120000.

The previous prime is 130082473. The next prime is 130082501. The reversal of 130082500 is 5280031.

It is a happy number.

130082500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 129413376 + 669124 = 11376^2 + 818^2 .

It is not an unprimeable number, because it can be changed into a prime (130082501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152074 + ... + 152926.

Almost surely, 2130082500 is an apocalyptic number.

130082500 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 130082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144733358).

130082500 is an abundant number, since it is smaller than the sum of its proper divisors (159384216).

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

130082500 is an equidigital number, since it uses as much as digits as its factorization.

130082500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 130082500 is about 11405.3715415150. The cubic root of 130082500 is about 506.6868403402.

The spelling of 130082500 in words is "one hundred thirty million, eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 625 853 1220 1250 1525 1706 2500 3050 3412 4265 6100 7625 8530 15250 17060 21325 30500 38125 42650 52033 76250 85300 104066 106625 152500 208132 213250 260165 426500 520330 533125 1040660 1066250 1300825 2132500 2601650 5203300 6504125 13008250 26016500 32520625 65041250 130082500