Base | Representation |
---|---|
bin | 1010010010100… |
… | …00101010000000 |
3 | 20000102012000000 |
4 | 11021100222000 |
5 | 134044013400 |
6 | 12322000000 |
7 | 2065440102 |
oct | 511205200 |
9 | 200365000 |
10 | 86313600 |
11 | 447a375a |
12 | 24aa6000 |
13 | 14b61049 |
14 | b66b572 |
15 | 789e600 |
hex | 5250a80 |
86313600 has 336 divisors, whose sum is σ = 328326270. Its totient is φ = 22394880.
The previous prime is 86313587. The next prime is 86313613. The reversal of 86313600 is 631368.
It is an interprime number because it is at equal distance from previous prime (86313587) and next prime (86313613).
It can be written as a sum of positive squares in 3 ways, for example, as 78428736 + 7884864 = 8856^2 + 2808^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2332782 + ... + 2332818.
Almost surely, 286313600 is an apocalyptic number.
86313600 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 86313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164163135).
86313600 is an abundant number, since it is smaller than the sum of its proper divisors (242012670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86313600 is an equidigital number, since it uses as much as digits as its factorization.
86313600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 86313600 is about 9290.5112884060. The cubic root of 86313600 is about 441.9363694292.
Adding to 86313600 its reverse (631368), we get a palindrome (86944968).
The spelling of 86313600 in words is "eighty-six million, three hundred thirteen thousand, six hundred".
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