| Base | Representation |
|---|---|
| bin | 1010010111000… |
| … | …10111010000000 |
| 3 | 20001112121201200 |
| 4 | 11023202322000 |
| 5 | 134222201030 |
| 6 | 12342501200 |
| 7 | 2103513423 |
| oct | 513427200 |
| 9 | 201477650 |
| 10 | 86912640 |
| 11 | 45072831 |
| 12 | 25134800 |
| 13 | 150108c9 |
| 14 | b7859ba |
| 15 | 796bd60 |
| hex | 52e2e80 |
86912640 has 192 divisors, whose sum is σ = 305510400. Its totient is φ = 22763520.
The previous prime is 86912629. The next prime is 86912641. The reversal of 86912640 is 4621968.
86912640 = T456 + T457 + ... + T850.
86912640 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 2 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 86912595 and 86912604.
It is not an unprimeable number, because it can be changed into a prime (86912641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454945 + ... + 455135.
It is an arithmetic number, because the mean of its divisors is an integer number (1591200).
Almost surely, 286912640 is an apocalyptic number.
86912640 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 86912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).
86912640 is an abundant number, since it is smaller than the sum of its proper divisors (218597760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86912640 is a wasteful number, since it uses less digits than its factorization.
86912640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 295 (or 280 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 86912640 is about 9322.6948893547. The cubic root of 86912640 is about 442.9563997331.
The spelling of 86912640 in words is "eighty-six million, nine hundred twelve thousand, six hundred forty".
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