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685069056 = 2833714159
BaseRepresentation
bin101000110101010…
…101001100000000
31202202002010002000
4220311111030000
52400334202211
6151551224000
722655663610
oct5065251400
91682063060
10685069056
11321781581
12171518000
13abc12309
1466daca40
1540223656
hex28d55300

685069056 has 144 divisors (see below), whose sum is σ = 2315443200. Its totient is φ = 195720192.

The previous prime is 685069051. The next prime is 685069061. The reversal of 685069056 is 650960586.

685069056 is a `hidden beast` number, since 6 + 8 + 506 + 90 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (685069051) and next prime (685069061).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6850690562 = 938639222977462272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685069051) by changing a digit.

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, 41305 + ... + 55463.

Almost surely, 2685069056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157721600).

685069056 is an abundant number, since it is smaller than the sum of its proper divisors (1630374144).

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

685069056 is a wasteful number, since it uses less digits than its factorization.

685069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191 (or 14171 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 685069056 is about 26173.8238704244. The cubic root of 685069056 is about 881.5456033226.

The spelling of 685069056 in words is "six hundred eighty-five million, sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 14159 16128 24192 28318 42477 48384 56636 84954 99113 113272 127431 169908 198226 226544 254862 297339 339816 382293 396452 453088 509724 594678 679632 764586 792904 892017 906176 1019448 1189356 1359264 1529172 1585808 1784034 1812352 2038896 2378712 2676051 2718528 3058344 3171616 3568068 3624704 4077792 4757424 5352102 5437056 6116688 6343232 7136136 8155584 9514848 10704204 10874112 12233376 12686464 14272272 16311168 19029696 21408408 24466752 25372928 28544544 32622336 38059392 42816816 48933504 57089088 76118784 85633632 97867008 114178176 171267264 228356352 342534528 685069056