Search a number
-
+
8230300 = 2252132487
BaseRepresentation
bin11111011001010110011100
3120111010211221
4133121112130
54101332200
6452223124
7126646021
oct37312634
916433757
108230300
114711601
12290aaa4
131922200
141143548
15ac891a
hex7d959c

8230300 has 54 divisors (see below), whose sum is σ = 19378968. Its totient is φ = 3032640.

The previous prime is 8230291. The next prime is 8230301. The reversal of 8230300 is 30328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16657 + ... + 17143.

Almost surely, 28230300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689484).

8230300 is an abundant number, since it is smaller than the sum of its proper divisors (11148668).

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

8230300 is a wasteful number, since it uses less digits than its factorization.

8230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 8230300 is about 2868.8499437928. The cubic root of 8230300 is about 201.9010396556.

Adding to 8230300 its reverse (30328), we get a palindrome (8260628).

The spelling of 8230300 in words is "eight million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 487 650 676 845 974 1300 1690 1948 2435 3380 4225 4870 6331 8450 9740 12175 12662 16900 24350 25324 31655 48700 63310 82303 126620 158275 164606 316550 329212 411515 633100 823030 1646060 2057575 4115150 8230300