Base | Representation |
---|---|
bin | 110011101111110… |
… | …000110100000000 |
3 | 2020111121000212200 |
4 | 303233300310000 |
5 | 3234222034340 |
6 | 222051353200 |
7 | 30341140662 |
oct | 6357606400 |
9 | 2214530780 |
10 | 868158720 |
11 | 406064550 |
12 | 2028b2800 |
13 | 10ab285b0 |
14 | 8342c532 |
15 | 5133c330 |
hex | 33bf0d00 |
868158720 has 864 divisors, whose sum is σ = 3856978944. Its totient is φ = 176947200.
The previous prime is 868158671. The next prime is 868158721. The reversal of 868158720 is 27851868.
868158720 is a `hidden beast` number, since 8 + 68 + 1 + 587 + 2 + 0 = 666.
It is a super-2 number, since 2×8681587202 = 1507399126224076800, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
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 (868158721) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28005105 + ... + 28005135.
It is an arithmetic number, because the mean of its divisors is an integer number (4464096).
Almost surely, 2868158720 is an apocalyptic number.
868158720 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 868158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928489472).
868158720 is an abundant number, since it is smaller than the sum of its proper divisors (2988820224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
868158720 is a wasteful number, since it uses less digits than its factorization.
868158720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 99 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 215040, while the sum is 45.
The square root of 868158720 is about 29464.5332561030. The cubic root of 868158720 is about 953.9663239830.
The spelling of 868158720 in words is "eight hundred sixty-eight million, one hundred fifty-eight thousand, seven hundred twenty".
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