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681314010 = 235132836173
BaseRepresentation
bin101000100111000…
…000011011011010
31202111000100010020
4220213000123122
52343404022020
6151334531310
722612034136
oct5047003332
91674010106
10681314010
1131a647333
12170206b36
13ab1c90b0
14666b23c6
153ec30c40
hex289c06da

681314010 has 64 divisors (see below), whose sum is σ = 1767443328. Its totient is φ = 167088384.

The previous prime is 681314009. The next prime is 681314017. The reversal of 681314010 is 10413186.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (681314017) 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 31 ways as a sum of consecutive naturals, for example, 107284 + ... + 113456.

It is an arithmetic number, because the mean of its divisors is an integer number (27616302).

Almost surely, 2681314010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883721664).

681314010 is an abundant number, since it is smaller than the sum of its proper divisors (1086129318).

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

681314010 is a wasteful number, since it uses less digits than its factorization.

681314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 681314010 is about 26101.9924526845. The cubic root of 681314010 is about 879.9319894065.

Adding to 681314010 its reverse (10413186), we get a palindrome (691727196).

The spelling of 681314010 in words is "six hundred eighty-one million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 283 390 566 849 1415 1698 2830 3679 4245 6173 7358 8490 11037 12346 18395 18519 22074 30865 36790 37038 55185 61730 80249 92595 110370 160498 185190 240747 401245 481494 802490 1203735 1746959 2407470 3493918 5240877 8734795 10481754 17469590 22710467 26204385 45420934 52408770 68131401 113552335 136262802 227104670 340657005 681314010