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12300500 = 225373337
BaseRepresentation
bin101110111011…
…000011010100
3212010221010002
4232323003110
511122104000
61115350432
7206360342
oct56730324
925127102
1012300500
116a41603
124152418
132718a04
1418c2992
15112e8d5
hexbbb0d4

12300500 has 48 divisors (see below), whose sum is σ = 27313104. Its totient is φ = 4838400.

The previous prime is 12300499. The next prime is 12300523. The reversal of 12300500 is 500321.

It can be written as a sum of positive squares in 8 ways, for example, as 4999696 + 7300804 = 2236^2 + 2702^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36332 + ... + 36668.

It is an arithmetic number, because the mean of its divisors is an integer number (569023).

Almost surely, 212300500 is an apocalyptic number.

12300500 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 12300500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656552).

12300500 is an abundant number, since it is smaller than the sum of its proper divisors (15012604).

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

12300500 is a wasteful number, since it uses less digits than its factorization.

12300500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 12300500 is about 3507.2068658692. The cubic root of 12300500 is about 230.8381517788.

Adding to 12300500 its reverse (500321), we get a palindrome (12800821).

The spelling of 12300500 in words is "twelve million, three hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 337 365 500 674 730 1348 1460 1685 1825 3370 3650 6740 7300 8425 9125 16850 18250 24601 33700 36500 42125 49202 84250 98404 123005 168500 246010 492020 615025 1230050 2460100 3075125 6150250 12300500