Base | Representation |
---|---|
bin | 101000111010000… |
… | …100001100000000 |
3 | 1202211102011112020 |
4 | 220322010030000 |
5 | 2401143411034 |
6 | 152034001440 |
7 | 23002353132 |
oct | 5072041400 |
9 | 1684364466 |
10 | 686310144 |
11 | 322449a73 |
12 | 171a16280 |
13 | ac2581a0 |
14 | 67213052 |
15 | 403bb249 |
hex | 28e84300 |
686310144 has 144 divisors (see below), whose sum is σ = 2005752672. Its totient is φ = 207028224.
The previous prime is 686310089. The next prime is 686310167. The reversal of 686310144 is 441013686.
It is a super-2 number, since 2×6863101442 = 942043227514601472, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528504 + ... + 529800.
It is an arithmetic number, because the mean of its divisors is an integer number (13928838).
Almost surely, 2686310144 is an apocalyptic number.
686310144 is a gapful number since it is divisible by the number (64) 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 686310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002876336).
686310144 is an abundant number, since it is smaller than the sum of its proper divisors (1319442528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
686310144 is a wasteful number, since it uses less digits than its factorization.
686310144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1382 (or 1368 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 686310144 is about 26197.5217148493. The cubic root of 686310144 is about 882.0776254302.
The spelling of 686310144 in words is "six hundred eighty-six million, three hundred ten thousand, one hundred forty-four".
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