Search a number
-
+
8230000 = 2454823
BaseRepresentation
bin11111011001010001110000
3120111010102211
4133121101300
54101330000
6452221504
7126645112
oct37312160
916433384
108230000
114711359
12290a894
13192202c
1411433b2
15ac87ba
hex7d9470

8230000 has 50 divisors (see below), whose sum is σ = 19949864. Its totient is φ = 3288000.

The previous prime is 8229959. The next prime is 8230003. The reversal of 8230000 is 328.

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9589 + ... + 10411.

Almost surely, 28230000 is an apocalyptic number.

8230000 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 8230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974932).

8230000 is an abundant number, since it is smaller than the sum of its proper divisors (11719864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8230000 is an equidigital number, since it uses as much as digits as its factorization.

8230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 8230000 is about 2868.7976575562. The cubic root of 8230000 is about 201.8985864826.

Adding to 8230000 its reverse (328), we get a palindrome (8230328).

The spelling of 8230000 in words is "eight million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 823 1000 1250 1646 2000 2500 3292 4115 5000 6584 8230 10000 13168 16460 20575 32920 41150 65840 82300 102875 164600 205750 329200 411500 514375 823000 1028750 1646000 2057500 4115000 8230000