Base | Representation |
---|---|
bin | 110011110001001… |
… | …010110100000000 |
3 | 2020112021202120000 |
4 | 303301022310000 |
5 | 3234320333420 |
6 | 222103320000 |
7 | 30344234511 |
oct | 6361126400 |
9 | 2215252500 |
10 | 868527360 |
11 | 406296508 |
12 | 202a50000 |
13 | 10ac2731c |
14 | 834c6a08 |
15 | 513b1690 |
hex | 33c4ad00 |
868527360 has 180 divisors, whose sum is σ = 3108120708. Its totient is φ = 231579648.
The previous prime is 868527353. The next prime is 868527367. The reversal of 868527360 is 63725868.
868527360 is a `hidden beast` number, since 8 + 68 + 527 + 3 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (868527353) and next prime (868527367).
It can be written as a sum of positive squares in 2 ways, for example, as 211527936 + 656999424 = 14544^2 + 25632^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (868527367) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99492 + ... + 107868.
Almost surely, 2868527360 is an apocalyptic number.
868527360 is a gapful number since it is divisible by the number (80) 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 868527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554060354).
868527360 is an abundant number, since it is smaller than the sum of its proper divisors (2239593348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
868527360 is an equidigital number, since it uses as much as digits as its factorization.
868527360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8410 (or 8387 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The square root of 868527360 is about 29470.7882487049. The cubic root of 868527360 is about 954.1013301647.
The spelling of 868527360 in words is "eight hundred sixty-eight million, five hundred twenty-seven thousand, three hundred sixty".
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