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681241280 = 26510919531
BaseRepresentation
bin101000100110101…
…110101011000000
31202110212122100112
4220212232223000
52343344210110
6151333210452
722611312116
oct5046565300
91673778315
10681241280
1131a5a7725
12170190a28
13ab1a1c65
1466693ab6
153ec19405
hex289aeac0

681241280 has 56 divisors (see below), whose sum is σ = 1637172240. Its totient is φ = 269982720.

The previous prime is 681241247. The next prime is 681241283. The reversal of 681241280 is 82142186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (681241283) 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 7 ways as a sum of consecutive naturals, for example, 25115 + ... + 44645.

Almost surely, 2681241280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818586120).

681241280 is an abundant number, since it is smaller than the sum of its proper divisors (955930960).

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

681241280 is a wasteful number, since it uses less digits than its factorization.

681241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19657 (or 19647 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 681241280 is about 26100.5992268377. The cubic root of 681241280 is about 879.9006774955.

The spelling of 681241280 in words is "six hundred eighty-one million, two hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6976 8720 17440 19531 34880 39062 78124 97655 156248 195310 312496 390620 624992 781240 1249984 1562480 2128879 3124960 4257758 6249920 8515516 10644395 17031032 21288790 34062064 42577580 68124128 85155160 136248256 170310320 340620640 681241280