Search a number
-
+
12320500 = 225341601
BaseRepresentation
bin101110111111…
…111011110100
3212011221112211
4232333323310
511123224000
61120023204
7206502553
oct56777364
925157484
1012320500
116a55635
124161b04
132724b4a
1418c9d9a
1511357ba
hexbbfef4

12320500 has 48 divisors (see below), whose sum is σ = 27610128. Its totient is φ = 4800000.

The previous prime is 12320491. The next prime is 12320507. The reversal of 12320500 is 502321.

It can be written as a sum of positive squares in 8 ways, for example, as 5116644 + 7203856 = 2262^2 + 2684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20200 + ... + 20800.

It is an arithmetic number, because the mean of its divisors is an integer number (575211).

Almost surely, 212320500 is an apocalyptic number.

12320500 is a gapful number since it is divisible by the number (10) 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 12320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805064).

12320500 is an abundant number, since it is smaller than the sum of its proper divisors (15289628).

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

12320500 is a wasteful number, since it uses less digits than its factorization.

12320500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 12320500 is about 3510.0569795945. The cubic root of 12320500 is about 230.9631944759.

Adding to 12320500 its reverse (502321), we get a palindrome (12822821).

The spelling of 12320500 in words is "twelve million, three hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 601 820 1025 1202 2050 2404 3005 4100 5125 6010 10250 12020 15025 20500 24641 30050 49282 60100 75125 98564 123205 150250 246410 300500 492820 616025 1232050 2464100 3080125 6160250 12320500