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680522112 = 27324871213
BaseRepresentation
bin101000100011111…
…111000110000000
31202102112002211200
4220203333012000
52343203201422
6151305541200
722602225324
oct5043770600
91672462750
10680522112
1131a156376
1216baa4800
13aacac80a
1466547984
153eb262ac
hex288ff180

680522112 has 96 divisors (see below), whose sum is σ = 1963912080. Its totient is φ = 226188288.

The previous prime is 680522111. The next prime is 680522123. The reversal of 680522112 is 211225086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6805221122 = 926220689841881088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680522111) 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 11 ways as a sum of consecutive naturals, for example, 560418 + ... + 561630.

Almost surely, 2680522112 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 680522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981956040).

680522112 is an abundant number, since it is smaller than the sum of its proper divisors (1283389968).

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

680522112 is a wasteful number, since it uses less digits than its factorization.

680522112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 680522112 is about 26086.8187405057. The cubic root of 680522112 is about 879.5909393576.

Adding to 680522112 its reverse (211225086), we get a palindrome (891747198).

The spelling of 680522112 in words is "six hundred eighty million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 487 576 974 1152 1213 1461 1948 2426 2922 3639 3896 4383 4852 5844 7278 7792 8766 9704 10917 11688 14556 15584 17532 19408 21834 23376 29112 31168 35064 38816 43668 46752 58224 62336 70128 77632 87336 93504 116448 140256 155264 174672 187008 232896 280512 349344 465792 561024 590731 698688 1181462 1397376 1772193 2362924 3544386 4725848 5316579 7088772 9451696 10633158 14177544 18903392 21266316 28355088 37806784 42532632 56710176 75613568 85065264 113420352 170130528 226840704 340261056 680522112