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680055192 = 2332411072153
BaseRepresentation
bin101000100010001…
…101000110011000
31202101122101100100
4220202031012120
52343043231232
6151251535400
722565242125
oct5042150630
91671571310
10680055192
11319967593
1216b8ba560
13aab7812b
146646574c
153ea82c7c
hex2888d198

680055192 has 96 divisors (see below), whose sum is σ = 1905256080. Its totient is φ = 218987520.

The previous prime is 680055157. The next prime is 680055197. The reversal of 680055192 is 291550086.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680055197) 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 23 ways as a sum of consecutive naturals, for example, 314788 + ... + 316940.

Almost surely, 2680055192 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 680055192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952628040).

680055192 is an abundant number, since it is smaller than the sum of its proper divisors (1225200888).

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

680055192 is a wasteful number, since it uses less digits than its factorization.

680055192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 680055192 is about 26077.8678576298. The cubic root of 680055192 is about 879.3897249471.

The spelling of 680055192 in words is "six hundred eighty million, fifty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 107 123 164 214 246 321 328 369 428 492 642 738 856 963 984 1284 1476 1926 2153 2568 2952 3852 4306 4387 6459 7704 8612 8774 12918 13161 17224 17548 19377 25836 26322 35096 38754 39483 51672 52644 77508 78966 88273 105288 155016 157932 176546 230371 264819 315864 353092 460742 529638 691113 706184 794457 921484 1059276 1382226 1588914 1842968 2073339 2118552 2764452 3177828 4146678 5528904 6355656 8293356 9445211 16586712 18890422 28335633 37780844 56671266 75561688 85006899 113342532 170013798 226685064 340027596 680055192