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868985712 = 24337674289
BaseRepresentation
bin110011110010111…
…010101101110000
32020120011001022000
4303302322231300
53234430020322
6222121214000
730351154020
oct6362725560
92216131260
10868985712
11406579911
12203031300
1310b057b3a
14835a5a80
15514523ac
hex33cbab70

868985712 has 160 divisors (see below), whose sum is σ = 2893862400. Its totient is φ = 244518912.

The previous prime is 868985659. The next prime is 868985723. The reversal of 868985712 is 217589868.

868985712 is a `hidden beast` number, since 8 + 68 + 9 + 8 + 571 + 2 = 666.

It is a super-3 number, since 3×8689857123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 200464 + ... + 204752.

It is an arithmetic number, because the mean of its divisors is an integer number (18086640).

Almost surely, 2868985712 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 868985712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446931200).

868985712 is an abundant number, since it is smaller than the sum of its proper divisors (2024876688).

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

868985712 is a wasteful number, since it uses less digits than its factorization.

868985712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4368 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 868985712 is about 29478.5636013697. The cubic root of 868985712 is about 954.2691380991.

The spelling of 868985712 in words is "eight hundred sixty-eight million, nine hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 67 72 84 108 112 126 134 144 168 189 201 216 252 268 336 378 402 432 469 504 536 603 756 804 938 1008 1072 1206 1407 1512 1608 1809 1876 2412 2814 3024 3216 3618 3752 4221 4289 4824 5628 7236 7504 8442 8578 9648 11256 12663 12867 14472 16884 17156 22512 25326 25734 28944 30023 33768 34312 38601 50652 51468 60046 67536 68624 77202 90069 101304 102936 115803 120092 154404 180138 202608 205872 231606 240184 270207 287363 308808 360276 463212 480368 540414 574726 617616 720552 810621 862089 926424 1080828 1149452 1441104 1621242 1724178 1852848 2011541 2161656 2298904 2586267 3242484 3448356 4023082 4323312 4597808 5172534 6034623 6484968 6896712 7758801 8046164 10345068 12069246 12969936 13793424 15517602 16092328 18103869 20690136 24138492 31035204 32184656 36207738 41380272 48276984 54311607 62070408 72415476 96553968 108623214 124140816 144830952 217246428 289661904 434492856 868985712