Search a number
-
+
681281280 = 283456571
BaseRepresentation
bin101000100110111…
…000011100000000
31202110221200020000
4220212320130000
52343402000110
6151334120000
722611536541
oct5046703400
91673850200
10681281280
1131a624789
121701b0000
13ab1b7224
14666a44c8
153ec261c0
hex289b8700

681281280 has 180 divisors, whose sum is σ = 2438119992. Its totient is φ = 181647360.

The previous prime is 681281267. The next prime is 681281317. The reversal of 681281280 is 82182186.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 100395 + ... + 106965.

Almost surely, 2681281280 is an apocalyptic number.

681281280 is a gapful number since it is divisible by the number (60) 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 681281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219059996).

681281280 is an abundant number, since it is smaller than the sum of its proper divisors (1756838712).

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

681281280 is an equidigital number, since it uses as much as digits as its factorization.

681281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 681281280 is about 26101.3654815222. The cubic root of 681281280 is about 879.9178986765.

It can be divided in two parts, 681 and 281280, that added together give a square (281961 = 5312).

The spelling of 681281280 in words is "six hundred eighty-one million, two hundred eighty-one thousand, two hundred eighty".