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1685741040 = 243254354449
BaseRepresentation
bin110010001111010…
…0101110111110000
311100111000111222100
41210132211313300
511423022203130
6435135140400
756526363624
oct14436456760
94314014870
101685741040
11795614215
123b0674700
1320b326309
1411dc53184
159ced8c60
hex647a5df0

1685741040 has 120 divisors (see below), whose sum is σ = 5793044400. Its totient is φ = 439068672.

The previous prime is 1685741027. The next prime is 1685741041. The reversal of 1685741040 is 401475861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1685740986 and 1685741004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685741041) by changing a digit.

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, 3736 + ... + 58184.

It is an arithmetic number, because the mean of its divisors is an integer number (48275370).

Almost surely, 21685741040 is an apocalyptic number.

1685741040 is a gapful number since it is divisible by the number (10) 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 1685741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896522200).

1685741040 is an abundant number, since it is smaller than the sum of its proper divisors (4107303360).

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

1685741040 is a wasteful number, since it uses less digits than its factorization.

1685741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54511 (or 54502 counting only the distinct ones).

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

The square root of 1685741040 is about 41057.7768516514. The cubic root of 1685741040 is about 1190.1369896199.

The spelling of 1685741040 in words is "one billion, six hundred eighty-five million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 54449 108898 163347 217796 272245 326694 435592 490041 544490 653388 816735 871184 980082 1088980 1306776 1633470 1960164 2177960 2341307 2450205 2613552 3266940 3920328 4355920 4682614 4900410 6533880 7023921 7840656 9365228 9800820 11706535 13067760 14047842 18730456 19601640 21071763 23413070 28095684 35119605 37460912 39203280 42143526 46826140 56191368 70239210 84287052 93652280 105358815 112382736 140478420 168574104 187304560 210717630 280956840 337148208 421435260 561913680 842870520 1685741040