Base | Representation |
---|---|
bin | 101000100111001… |
… | …111100000000000 |
3 | 1202111010110210200 |
4 | 220213033200000 |
5 | 2343413010434 |
6 | 151340125200 |
7 | 22612412130 |
oct | 5047174000 |
9 | 1674113720 |
10 | 681375744 |
11 | 31a689755 |
12 | 170236800 |
13 | ab21b21a |
14 | 666caac0 |
15 | 3ec44199 |
hex | 289cf800 |
681375744 has 144 divisors (see below), whose sum is σ = 2249498160. Its totient is φ = 194641920.
The previous prime is 681375743. The next prime is 681375769. The reversal of 681375744 is 447573186.
681375744 is a `hidden beast` number, since 68 + 13 + 7 + 574 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a self number, because there is not a number n which added to its sum of digits gives 681375744.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (681375743) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 126384 + ... + 131664.
It is an arithmetic number, because the mean of its divisors is an integer number (15621515).
Almost surely, 2681375744 is an apocalyptic number.
681375744 is a gapful number since it is divisible by the number (64) 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 681375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124749080).
681375744 is an abundant number, since it is smaller than the sum of its proper divisors (1568122416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
681375744 is a wasteful number, since it uses less digits than its factorization.
681375744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5316 (or 5293 counting only the distinct ones).
The product of its digits is 564480, while the sum is 45.
The square root of 681375744 is about 26103.1749793009. The cubic root of 681375744 is about 879.9585655422.
The spelling of 681375744 in words is "six hundred eighty-one million, three hundred seventy-five thousand, seven hundred forty-four".
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