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130838500 = 22531320129
BaseRepresentation
bin1111100110001…
…10111111100100
3100010012021200101
413303012333210
5231443313000
620552153444
73146052232
oct763067744
9303167611
10130838500
11679449a1
1237998884
1321150340
141353b952
15b746e6a
hex7cc6fe4

130838500 has 48 divisors (see below), whose sum is σ = 307747440. Its totient is φ = 48307200.

The previous prime is 130838497. The next prime is 130838501. The reversal of 130838500 is 5838031.

It can be written as a sum of positive squares in 8 ways, for example, as 38217124 + 92621376 = 6182^2 + 9624^2 .

It is not an unprimeable number, because it can be changed into a prime (130838501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3565 + ... + 16564.

It is an arithmetic number, because the mean of its divisors is an integer number (6411405).

Almost surely, 2130838500 is an apocalyptic number.

130838500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130838500 is an abundant number, since it is smaller than the sum of its proper divisors (176908940).

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

130838500 is a wasteful number, since it uses less digits than its factorization.

130838500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20161 (or 20149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 130838500 is about 11438.4658062172. The cubic root of 130838500 is about 507.6665149596. Note that the first 3 decimals are identical.

The spelling of 130838500 in words is "one hundred thirty million, eight hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 20129 40258 80516 100645 201290 261677 402580 503225 523354 1006450 1046708 1308385 2012900 2516125 2616770 5032250 5233540 6541925 10064500 13083850 26167700 32709625 65419250 130838500