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130716800 = 275240849
BaseRepresentation
bin1111100101010…
…01010010000000
3100002222002201222
413302221102000
5231430414200
620545414212
73145034354
oct762512200
9302862658
10130716800
1167871515
123793a368
1321109b26
1413509464
15b720d85
hex7ca9480

130716800 has 48 divisors (see below), whose sum is σ = 322919250. Its totient is φ = 52285440.

The previous prime is 130716779. The next prime is 130716841. The reversal of 130716800 is 8617031.

It can be written as a sum of positive squares in 3 ways, for example, as 106667584 + 24049216 = 10328^2 + 4904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130716800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17225 + ... + 23624.

Almost surely, 2130716800 is an apocalyptic number.

130716800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130716800 is an abundant number, since it is smaller than the sum of its proper divisors (192202450).

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

130716800 is an equidigital number, since it uses as much as digits as its factorization.

130716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40873 (or 40856 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 130716800 is about 11433.1447992230. The cubic root of 130716800 is about 507.5090633922.

The spelling of 130716800 in words is "one hundred thirty million, seven hundred sixteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 40849 81698 163396 204245 326792 408490 653584 816980 1021225 1307168 1633960 2042450 2614336 3267920 4084900 5228672 6535840 8169800 13071680 16339600 26143360 32679200 65358400 130716800