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681280080 = 243513593701
BaseRepresentation
bin101000100110111…
…000001001010000
31202110221121120120
4220212320021100
52343401430310
6151334110240
722611533205
oct5046701120
91673847516
10681280080
1131a623898
121701ab380
13ab1b6810
14666a3cac
153ec25b70
hex289b8250

681280080 has 160 divisors (see below), whose sum is σ = 2313601920. Its totient is φ = 164812800.

The previous prime is 681280063. The next prime is 681280081. The reversal of 681280080 is 80082186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681280081) 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 31 ways as a sum of consecutive naturals, for example, 182230 + ... + 185930.

It is an arithmetic number, because the mean of its divisors is an integer number (14460012).

Almost surely, 2681280080 is an apocalyptic number.

681280080 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 681280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156800960).

681280080 is an abundant number, since it is smaller than the sum of its proper divisors (1632321840).

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

681280080 is a wasteful number, since it uses less digits than its factorization.

681280080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 681280080 is about 26101.3424942090. The cubic root of 681280080 is about 879.9173820509.

The spelling of 681280080 in words is "six hundred eighty-one million, two hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 624 708 767 780 885 944 1040 1180 1416 1534 1560 1770 2301 2360 2832 3068 3120 3540 3701 3835 4602 4720 6136 7080 7402 7670 9204 11103 11505 12272 14160 14804 15340 18408 18505 22206 23010 29608 30680 36816 37010 44412 46020 48113 55515 59216 61360 74020 88824 92040 96226 111030 144339 148040 177648 184080 192452 218359 222060 240565 288678 296080 384904 436718 444120 481130 577356 655077 721695 769808 873436 888240 962260 1091795 1154712 1310154 1443390 1746872 1924520 2183590 2309424 2620308 2838667 2886780 3275385 3493744 3849040 4367180 5240616 5677334 5773560 6550770 8516001 8734360 10481232 11354668 11547120 13101540 14193335 17032002 17468720 22709336 26203080 28386670 34064004 42580005 45418672 52406160 56773340 68128008 85160010 113546680 136256016 170320020 227093360 340640040 681280080