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680545086 = 23132897541
BaseRepresentation
bin101000100100000…
…100101100111110
31202102120021100120
4220210010230332
52343204420321
6151310235410
722602352314
oct5044045476
91672507316
10680545086
1131a171661
1216bab5b66
13aacba100
14665520b4
153eb2cec6
hex28904b3e

680545086 has 48 divisors (see below), whose sum is σ = 1490600880. Its totient is φ = 207018240.

The previous prime is 680545081. The next prime is 680545093.

680545086 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6805450862 = 926283228157494792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680545081) 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 23 ways as a sum of consecutive naturals, for example, 86476 + ... + 94016.

It is an arithmetic number, because the mean of its divisors is an integer number (31054185).

Almost surely, 2680545086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680545086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745300440).

680545086 is an abundant number, since it is smaller than the sum of its proper divisors (810055794).

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

680545086 is a wasteful number, since it uses less digits than its factorization.

680545086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 680545086 is about 26087.2590741151. The cubic root of 680545086 is about 879.6008373925.

The spelling of 680545086 in words is "six hundred eighty million, five hundred forty-five thousand, eighty-six".

Divisors: 1 2 3 6 13 26 39 78 89 169 178 267 338 507 534 1014 1157 2314 3471 6942 7541 15041 15082 22623 30082 45123 45246 90246 98033 196066 294099 588198 671149 1274429 1342298 2013447 2548858 3823287 4026894 7646574 8724937 17449874 26174811 52349622 113424181 226848362 340272543 680545086