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12309800 = 2352611009
BaseRepresentation
bin101110111101…
…010100101000
3212011101212112
4232331110220
511122403200
61115501452
7206426426
oct56752450
925141775
1012309800
116a48598
124157888
132720009
1418c6116
151132535
hexbbd528

12309800 has 48 divisors (see below), whose sum is σ = 29118300. Its totient is φ = 4838400.

The previous prime is 12309797. The next prime is 12309811. The reversal of 12309800 is 890321.

It can be written as a sum of positive squares in 6 ways, for example, as 708964 + 11600836 = 842^2 + 3406^2 .

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 11 ways as a sum of consecutive naturals, for example, 11696 + ... + 12704.

Almost surely, 212309800 is an apocalyptic number.

12309800 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 12309800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559150).

12309800 is an abundant number, since it is smaller than the sum of its proper divisors (16808500).

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

12309800 is a wasteful number, since it uses less digits than its factorization.

12309800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 12309800 is about 3508.5324567403. The cubic root of 12309800 is about 230.8963134795.

The spelling of 12309800 in words is "twelve million, three hundred nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1009 1220 1525 2018 2440 3050 4036 5045 6100 8072 10090 12200 20180 25225 40360 50450 61549 100900 123098 201800 246196 307745 492392 615490 1230980 1538725 2461960 3077450 6154900 12309800