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681406680 = 233512234643
BaseRepresentation
bin101000100111010…
…111000011011000
31202111012001020110
4220213113003120
52343420003210
6151340524320
722612601253
oct5047270330
91674161213
10681406680
1131a6aaa19
121702506a0
13ab22c326
14666d809a
153ec4d420
hex289d70d8

681406680 has 64 divisors (see below), whose sum is σ = 2046332160. Its totient is φ = 181520768.

The previous prime is 681406669. The next prime is 681406703. The reversal of 681406680 is 86604186.

681406680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144439 + ... + 149081.

It is an arithmetic number, because the mean of its divisors is an integer number (31973940).

Almost surely, 2681406680 is an apocalyptic number.

681406680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681406680 is an abundant number, since it is smaller than the sum of its proper divisors (1364925480).

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

681406680 is a wasteful number, since it uses less digits than its factorization.

681406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 681406680 is about 26103.7675441688. The cubic root of 681406680 is about 879.9718827104.

The spelling of 681406680 in words is "six hundred eighty-one million, four hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1223 2446 3669 4643 4892 6115 7338 9286 9784 12230 13929 14676 18345 18572 23215 24460 27858 29352 36690 37144 46430 48920 55716 69645 73380 92860 111432 139290 146760 185720 278580 557160 5678389 11356778 17035167 22713556 28391945 34070334 45427112 56783890 68140668 85175835 113567780 136281336 170351670 227135560 340703340 681406680