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680260428 = 223273313827
BaseRepresentation
bin101000100010111…
…111001101001100
31202102000210212200
4220202333031030
52343121313203
6151300201500
722600055361
oct5042771514
91672023780
10680260428
11319a97801
1216b999290
13aac1a683
14664ba468
153eac39a3
hex288bf34c

680260428 has 72 divisors (see below), whose sum is σ = 1750786128. Its totient is φ = 222663168.

The previous prime is 680260417. The next prime is 680260499. The reversal of 680260428 is 824062086.

680260428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 680260392 and 680260401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822151 + ... + 822977.

It is an arithmetic number, because the mean of its divisors is an integer number (24316474).

Almost surely, 2680260428 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 680260428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875393064).

680260428 is an abundant number, since it is smaller than the sum of its proper divisors (1070525700).

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

680260428 is a wasteful number, since it uses less digits than its factorization.

680260428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 680260428 is about 26081.8026217514. The cubic root of 680260428 is about 879.4781806483.

The spelling of 680260428 in words is "six hundred eighty million, two hundred sixty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 313 438 626 657 827 876 939 1252 1314 1654 1878 2481 2628 2817 3308 3756 4962 5634 7443 9924 11268 14886 22849 29772 45698 60371 68547 91396 120742 137094 181113 205641 241484 258851 274188 362226 411282 517702 543339 724452 776553 822564 1035404 1086678 1553106 2173356 2329659 3106212 4659318 9318636 18896123 37792246 56688369 75584492 113376738 170065107 226753476 340130214 680260428