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683407260 = 223354726927
BaseRepresentation
bin101000101110111…
…111011110011100
31202121221200112000
4220232333132130
52344423013020
6151451442300
722635602664
oct5056773634
91677850460
10683407260
11320846a98
12170a56390
13ab77cac3
1466a991a4
153eee6090
hex28bbf79c

683407260 has 96 divisors (see below), whose sum is σ = 2171473920. Its totient is φ = 178357824.

The previous prime is 683407223. The next prime is 683407331. The reversal of 683407260 is 62704386.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11917 + ... + 38843.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520).

Almost surely, 2683407260 is an apocalyptic number.

683407260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683407260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085736960).

683407260 is an abundant number, since it is smaller than the sum of its proper divisors (1488066660).

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

683407260 is a wasteful number, since it uses less digits than its factorization.

683407260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26992 (or 26984 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 683407260 is about 26142.0592149892. The cubic root of 683407260 is about 880.8322275106.

The spelling of 683407260 in words is "six hundred eighty-three million, four hundred seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 26927 53854 80781 107708 134635 161562 242343 269270 323124 403905 484686 538540 727029 807810 969372 1211715 1265569 1454058 1615620 2423430 2531138 2908116 3635145 3796707 4846860 5062276 6327845 7270290 7593414 11390121 12655690 14540580 15186828 18983535 22780242 25311380 34170363 37967070 45560484 56950605 68340726 75934140 113901210 136681452 170851815 227802420 341703630 683407260