130816 has 36 divisors (see below), whose sum is σ = 302512. Its totient is φ = 55296.

The previous prime is 130811. The next prime is 130817. The reversal of 130816 is 618031.

Adding to 130816 its reverse (618031), we get a palindrome (748847).

It can be divided in two parts, 130 and 816, that added together give a triangular number (946 = T_{43}).

130816 is a nontrivial binomial coefficient, being equal to C(512, 2).

It is a super-2 number, since 2×130816^{2} = 34225651712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 130793 and 130802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1756 + ... + 1828.

2^{130816} is an apocalyptic number.

130816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130816 is the 511-st triangular number and also the 256-th hexagonal number.

130816 is the 171-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151256).

130816 is an abundant number, since it is smaller than the sum of its proper divisors (171696).

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

130816 is an frugal number, since it uses more digits than its factorization.

130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 130816 is about 361.6849457746. The cubic root of 130816 is about 50.7637412538.

The spelling of 130816 in words is "one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 584 896 1022 1168 1792 2044 2336 4088 4672 8176 9344 16352 18688 32704 65408 130816

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