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685860960 = 253512711251
BaseRepresentation
bin101000111000010…
…110100001100000
31202210120100100210
4220320112201200
52401040022320
6152020214120
722665502431
oct5070264140
91683510323
10685860960
11322172544
1217183a340
13ac12b8b5
1467137488
154032d0e0
hex28e16860

685860960 has 96 divisors (see below), whose sum is σ = 2177667072. Its totient is φ = 181440000.

The previous prime is 685860953. The next prime is 685861009. The reversal of 685860960 is 69068586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55335 + ... + 66585.

It is an arithmetic number, because the mean of its divisors is an integer number (22684032).

Almost surely, 2685860960 is an apocalyptic number.

685860960 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 685860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088833536).

685860960 is an abundant number, since it is smaller than the sum of its proper divisors (1491806112).

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

685860960 is a wasteful number, since it uses less digits than its factorization.

685860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11396 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 685860960 is about 26188.9472869759. The cubic root of 685860960 is about 881.8851460627.

The spelling of 685860960 in words is "six hundred eighty-five million, eight hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 11251 12192 15240 20320 22502 30480 33753 45004 56255 60960 67506 90008 112510 135012 168765 180016 225020 270024 337530 360032 450040 540048 675060 900080 1080096 1350120 1428877 1800160 2700240 2857754 4286631 5400480 5715508 7144385 8573262 11431016 14288770 17146524 21433155 22862032 28577540 34293048 42866310 45724064 57155080 68586096 85732620 114310160 137172192 171465240 228620320 342930480 685860960