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682713180 = 223258345697
BaseRepresentation
bin101000101100010…
…110000001011100
31202120122102102100
4220230112001130
52344233310210
6151424525100
722626652302
oct5054260134
91676572370
10682713180
11320412576
12170780790
13ab598bc6
1466958272
153ee0a5c0
hex28b1605c

682713180 has 72 divisors (see below), whose sum is σ = 2095893072. Its totient is φ = 179859456.

The previous prime is 682713173. The next prime is 682713221. The reversal of 682713180 is 81317286.

It is a super-2 number, since 2×6827131802 = 932194572291424800, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7909 + ... + 37788.

It is an arithmetic number, because the mean of its divisors is an integer number (29109626).

Almost surely, 2682713180 is an apocalyptic number.

682713180 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 682713180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047946536).

682713180 is an abundant number, since it is smaller than the sum of its proper divisors (1413179892).

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

682713180 is a wasteful number, since it uses less digits than its factorization.

682713180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45795 (or 45790 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 682713180 is about 26128.7806833767. The cubic root of 682713180 is about 880.5339304546.

The spelling of 682713180 in words is "six hundred eighty-two million, seven hundred thirteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 45697 91394 137091 182788 228485 274182 411273 456970 548364 685455 822546 913940 1370910 1645092 2056365 2741820 3792851 4112730 7585702 8225460 11378553 15171404 18964255 22757106 34135659 37928510 45514212 56892765 68271318 75857020 113785530 136542636 170678295 227571060 341356590 682713180