Base | Representation |
---|---|
bin | 100001111111… |
… | …111100000000 |
3 | 121202210211210 |
4 | 201333330000 |
5 | 4240201030 |
6 | 515010120 |
7 | 135520242 |
oct | 41777400 |
9 | 17683753 |
10 | 8912640 |
11 | 5038220 |
12 | 2b99940 |
13 | 1b00969 |
14 | 1280092 |
15 | bb0bb0 |
hex | 87ff00 |
8912640 has 144 divisors (see below), whose sum is σ = 31199616. Its totient is φ = 2150400.
The previous prime is 8912627. The next prime is 8912663. The reversal of 8912640 is 462198.
8912640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (30) 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 (30).
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 8912598 and 8912607.
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, 42135 + ... + 42345.
It is an arithmetic number, because the mean of its divisors is an integer number (216664).
Almost surely, 28912640 is an apocalyptic number.
8912640 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 8912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599808).
8912640 is an abundant number, since it is smaller than the sum of its proper divisors (22286976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8912640 is a wasteful number, since it uses less digits than its factorization.
8912640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 246 (or 232 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 30.
The square root of 8912640 is about 2985.4044952066. The cubic root of 8912640 is about 207.3331702065. Note that the first 3 decimals are identical.
The spelling of 8912640 in words is "eight million, nine hundred twelve thousand, six hundred forty".
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