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1685714040 = 2332516132903
BaseRepresentation
bin110010001111001…
…1111010001111000
311100110222010221100
41210132133101320
511423020322130
6435134411400
756526222123
oct14436372170
94313863840
101685714040
117955a59aa
123b0660b60
1320b316c3a
1411dc473ba
159ced0c60
hex6479f478

1685714040 has 96 divisors (see below), whose sum is σ = 5483855520. Its totient is φ = 449090304.

The previous prime is 1685714039. The next prime is 1685714071. The reversal of 1685714040 is 404175861.

It is a happy number.

1685714040 is a `hidden beast` number, since 1 + 6 + 8 + 571 + 40 + 40 = 666.

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 = 1685713986 and 1685714004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579229 + ... + 582131.

It is an arithmetic number, because the mean of its divisors is an integer number (57123495).

Almost surely, 21685714040 is an apocalyptic number.

1685714040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1685714040 is an abundant number, since it is smaller than the sum of its proper divisors (3798141480).

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

1685714040 is a wasteful number, since it uses less digits than its factorization.

1685714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1685714040 is about 41057.4480453912. The cubic root of 1685714040 is about 1190.1306355656.

The spelling of 1685714040 in words is "one billion, six hundred eighty-five million, seven hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1613 2903 3226 4839 5806 6452 8065 8709 9678 11612 12904 14515 14517 16130 17418 19356 23224 24195 26127 29030 29034 32260 34836 38712 43545 48390 52254 58060 58068 64520 69672 72585 87090 96780 104508 116120 116136 130635 145170 174180 193560 209016 261270 290340 348360 522540 580680 1045080 4682539 9365078 14047617 18730156 23412695 28095234 37460312 42142851 46825390 56190468 70238085 84285702 93650780 112380936 140476170 168571404 187301560 210714255 280952340 337142808 421428510 561904680 842857020 1685714040