Search a number
-
+
680021208 = 2332311991531
BaseRepresentation
bin101000100010000…
…100110011011000
31202101120122201200
4220202010303120
52343041134313
6151251114200
722565041056
oct5042046330
91671518650
10680021208
11319943aa9
1216b8a2960
13aab65819
14664571d6
153ea77b73
hex28884cd8

680021208 has 96 divisors (see below), whose sum is σ = 1911936000. Its totient is φ = 218116800.

The previous prime is 680021171. The next prime is 680021213. The reversal of 680021208 is 802120086.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 443403 + ... + 444933.

It is an arithmetic number, because the mean of its divisors is an integer number (19916000).

Almost surely, 2680021208 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 680021208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955968000).

680021208 is an abundant number, since it is smaller than the sum of its proper divisors (1231914792).

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

680021208 is a wasteful number, since it uses less digits than its factorization.

680021208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 680021208 is about 26077.2162624771. The cubic root of 680021208 is about 879.3750762938.

The spelling of 680021208 in words is "six hundred eighty million, twenty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 199 248 279 372 398 558 597 744 796 1116 1194 1531 1592 1791 2232 2388 3062 3582 4593 4776 6124 6169 7164 9186 12248 12338 13779 14328 18372 18507 24676 27558 36744 37014 47461 49352 55116 55521 74028 94922 110232 111042 142383 148056 189844 222084 284766 304669 379688 427149 444168 569532 609338 854298 914007 1139064 1218676 1708596 1828014 2437352 2742021 3417192 3656028 5484042 7312056 9444739 10968084 18889478 21936168 28334217 37778956 56668434 75557912 85002651 113336868 170005302 226673736 340010604 680021208