Search a number
-
+
681308080 = 24519231761
BaseRepresentation
bin101000100110111…
…110111110110000
31202111000000222121
4220212332332300
52343403324310
6151334444024
722612010635
oct5046767660
91674000877
10681308080
1131a642932
12170203614
13ab1c649b
14666b018c
153ec2e0da
hex289befb0

681308080 has 120 divisors (see below), whose sum is σ = 1727996544. Its totient is φ = 249523200.

The previous prime is 681308071. The next prime is 681308123. The reversal of 681308080 is 80803186.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894900 + ... + 895660.

Almost surely, 2681308080 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 681308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863998272).

681308080 is an abundant number, since it is smaller than the sum of its proper divisors (1046688464).

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

681308080 is a wasteful number, since it uses less digits than its factorization.

681308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 681308080 is about 26101.8788595764. The cubic root of 681308080 is about 879.9294364907.

The spelling of 681308080 in words is "six hundred eighty-one million, three hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 361 380 496 589 620 722 760 761 1178 1240 1444 1520 1522 1805 2356 2480 2888 2945 3044 3610 3805 4712 5776 5890 6088 7220 7610 9424 11191 11780 12176 14440 14459 15220 22382 23560 23591 28880 28918 30440 44764 47120 47182 55955 57836 60880 72295 89528 94364 111910 115672 117955 144590 179056 188728 223820 231344 235910 274721 289180 377456 447640 448229 471820 549442 578360 895280 896458 943640 1098884 1156720 1373605 1792916 1887280 2197768 2241145 2747210 3585832 4395536 4482290 5494420 7171664 8516351 8964580 10988840 17032702 17929160 21977680 34065404 35858320 42581755 68130808 85163510 136261616 170327020 340654040 681308080